Cremona's table of elliptic curves

5915 = 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	5- 7- 13+	Signs for the Atkin-Lehner involutions
Class	5915k	Isogeny class
Conductor	5915	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-107236235107421875 = -1 · 512 · 7 · 137	Discriminant
Eigenvalues	-1  0 5- 7-  0 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,27008,-15669234]	[a1,a2,a3,a4,a6]
Generators	[231:1574:1]	Generators of the group modulo torsion
j	451394172711/22216796875	j-invariant
L	2.6155201644281	L(r)(E,1)/r!
Ω	0.16017486147109	Real period
R	1.3607629293419	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	94640ch3 53235r3 29575a3 41405g3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5915k4

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	0	-	-	0	+	-2	4	0	-2	0	-2	-6	-4	8	6	4	-10	-12	-4	10	0	-12	18	2

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Quadratic twists for elliptic curve 5915k4

-4	-3	5	-7	13
94640ch3	53235r3	29575a3	41405g3	455a4

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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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