Cremona's table of elliptic curves

6510 = 2 · 3 · 5 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7+ 31+	Signs for the Atkin-Lehner involutions
Class	6510l	Isogeny class
Conductor	6510	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	-2392874775900 = -1 · 22 · 38 · 52 · 76 · 31	Discriminant
Eigenvalues	2- 3+ 5+ 7+  0  4 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,3094,35219]	[a1,a2,a3,a4,a6]
j	3275486903156831/2392874775900	j-invariant
L	2.0801917957772	L(r)(E,1)/r!
Ω	0.52004794894431	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	52080bv1 19530u1 32550x1 45570di1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6510l1

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
-	+	+	+	0	4	-6	0	0	-4	+	-2	10	2	8	10	-4	-6	8	12	-14	-10	12	4	2

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Quadratic twists for elliptic curve 6510l1

-4	-3	5	-7
52080bv1	19530u1	32550x1	45570di1

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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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