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	915a	Isogeny class
Conductor	915	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	1680	Modular degree for the optimal curve
Δ	-53198671875 = -1 · 3 · 57 · 613	Discriminant
Eigenvalues	2 3+ 5-  3 -4  4  8  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-460,-11577]	[a1,a2,a3,a4,a6]
j	-10788001140736/53198671875	j-invariant
L	3.2590002626682	L(r)(E,1)/r!
Ω	0.46557146609545	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14640bi1 58560bl1 2745b1 4575e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 915a1

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	+	-	3	-4	4	8	7	-6	-5	0	11	-2	1	-1	2	-7	+	-12	13	-8	-12	9	-6	-4

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Quadratic twists for elliptic curve 915a1

-4	8	-3	5	-7	-11	61
14640bi1	58560bl1	2745b1	4575e1	44835u1	110715j1	55815g1

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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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