Cremona's table of elliptic curves

115520 = 2⁶ · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 5+ 19-	Signs for the Atkin-Lehner involutions
Class	115520cc	Isogeny class
Conductor	115520	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2.173896069248E+19	Discriminant
Eigenvalues	2-  2 5+ -4  4 -4 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-601657521,-5680110765679]	[a1,a2,a3,a4,a6]
Generators	[419859655238371495611804264973622592654354780841772535161435673940713059165880:-59639519981167478995770069819329814377399180173791870173553368924360907433389019:10706727090654965260187158433613301692894361734705859727697985084465748769]	Generators of the group modulo torsion
j	31248575021659890256/28203125	j-invariant
L	7.2290039752881	L(r)(E,1)/r!
Ω	0.030483316632219	Real period
R	118.57312087307	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	115520p2 28880m2 6080n2	Quadratic twists by: -4 8 -19

Hecke Eigenvalues for elliptic curve 115520cc2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	2	+	-4	4	-4	-2	-	0	2	8	4	-6	0	-12	-8	0	-2	14	8	6	-4	4	-14	12

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Quadratic twists for elliptic curve 115520cc2

-4	8	-19
115520p2	28880m2	6080n2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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