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	115520f	Isogeny class
Conductor	115520	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	26434576202055680 = 214 · 5 · 199	Discriminant
Eigenvalues	2+  2 5+  0  4  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-722481,-235997359]	[a1,a2,a3,a4,a6]
Generators	[18403883497901782292950926059443527647160:-321415775203698476746555599552132441361961:16285136257058061080800603790064491571]	Generators of the group modulo torsion
j	7888624/5	j-invariant
L	10.564633757631	L(r)(E,1)/r!
Ω	0.16376059952316	Real period
R	64.512671672349	Regulator
r	1	Rank of the group of rational points
S	0.99999999694511	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	115520bq2 7220g2 115520h2	Quadratic twists by: -4 8 -19

Hecke Eigenvalues for elliptic curve 115520f2

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	+	0	4	2	-2	+	0	-4	8	2	12	-4	0	6	-4	6	-10	0	-2	4	-12	-12	-6

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Quadratic twists for elliptic curve 115520f2

-4	8	-19
115520bq2	7220g2	115520h2

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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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