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	-623062845 = -1 · 32 · 5 · 614	Discriminant
Eigenvalues	1 3+ 5-  0  0 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,163,966]	[a1,a2,a3,a4,a6]
Generators	[158:811:8]	Generators of the group modulo torsion
j	474369503399/623062845	j-invariant
L	2.613079680411	L(r)(E,1)/r!
Ω	1.0934580636651	Real period
R	4.7794785501922	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14640bj4 58560x3 2745c4 4575f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 915b4

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 915b4

-4	8	-3	5	-7	-11	61
14640bj4	58560x3	2745c4	4575f4	44835o3	110715f3	55815d3

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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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