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	6510y	Isogeny class
Conductor	6510	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	946162220062500 = 22 · 38 · 56 · 74 · 312	Discriminant
Eigenvalues	2- 3- 5- 7+  0  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-330770,-73233888]	[a1,a2,a3,a4,a6]
j	4002230837947353691681/946162220062500	j-invariant
L	4.7778820297262	L(r)(E,1)/r!
Ω	0.19907841790526	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	52080bn2 19530h2 32550h2 45570br2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6510y2

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

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Quadratic twists for elliptic curve 6510y2

-4	-3	5	-7
52080bn2	19530h2	32550h2	45570br2

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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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