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	115520l	Isogeny class
Conductor	115520	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	119808	Modular degree for the optimal curve
Δ	-29573120000 = -1 · 217 · 54 · 192	Discriminant
Eigenvalues	2+ -1 5+ -2 -5  6 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3521,-79679]	[a1,a2,a3,a4,a6]
Generators	[81:400:1] [113:976:1]	Generators of the group modulo torsion
j	-102053522/625	j-invariant
L	7.9806588731659	L(r)(E,1)/r!
Ω	0.30976604173796	Real period
R	3.2204380890883	Regulator
r	2	Rank of the group of rational points
S	0.99999999962578	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	115520bw1 14440i1 115520b1	Quadratic twists by: -4 8 -19

Hecke Eigenvalues for elliptic curve 115520l1

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
+	-1	+	-2	-5	6	-6	-	-4	-6	-4	4	11	0	6	-2	5	-10	-5	-10	7	8	3	-6	-9

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Quadratic twists for elliptic curve 115520l1

-4	8	-19
115520bw1	14440i1	115520b1

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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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