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	6510x	Isogeny class
Conductor	6510	Conductor
∏ cp	441	Product of Tamagawa factors cp
Δ	-7.4800462118033E+24	Discriminant
Eigenvalues	2- 3- 5+ 7- -6 -1  3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,48855159,6292580121]	[a1,a2,a3,a4,a6]
Generators	[36354:7040763:1]	Generators of the group modulo torsion
j	12895999413139823113663940591/7480046211803339421744000	j-invariant
L	6.5822199522778	L(r)(E,1)/r!
Ω	0.044626327282493	Real period
R	0.33445882139357	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	52080y2 19530bg2 32550f2 45570cf2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6510x2

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
-	-	+	-	-6	-1	3	-1	-6	0	-	-10	3	-10	6	3	-12	8	-13	0	-10	-10	6	6	-13

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Quadratic twists for elliptic curve 6510x2

-4	-3	5	-7
52080y2	19530bg2	32550f2	45570cf2

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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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