Cremona's table of elliptic curves

915 = 3 · 5 · 61

Field	Data	Notes
Atkin-Lehner	3+ 5- 61-	Signs for the Atkin-Lehner involutions
Class	915b	Isogeny class
Conductor	915	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	250138125 = 38 · 54 · 61	Discriminant
Eigenvalues	1 3+ 5-  0  0 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-367,-2756]	[a1,a2,a3,a4,a6]
Generators	[-12:16:1]	Generators of the group modulo torsion
j	5489965305721/250138125	j-invariant
L	2.613079680411	L(r)(E,1)/r!
Ω	1.0934580636651	Real period
R	1.194869637548	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	14640bj3 58560x4 2745c3 4575f3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 915b3

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	-2	-4	0	-10	-4	2	-6	-4	8	-14	0	-	-4	4	2	4	4	10	2

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Quadratic twists for elliptic curve 915b3

-4	8	-3	5	-7	-11	61
14640bj3	58560x4	2745c3	4575f3	44835o4	110715f4	55815d4

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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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