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	48	Product of Tamagawa factors cp
Δ	916363712250 = 2 · 34 · 53 · 72 · 314	Discriminant
Eigenvalues	2- 3- 5- 7+  0  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-5292020,-4686204138]	[a1,a2,a3,a4,a6]
j	16390346986841626266511681/916363712250	j-invariant
L	4.7778820297262	L(r)(E,1)/r!
Ω	0.09953920895263	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	52080bn4 19530h4 32550h4 45570br4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6510y3

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 6510y3

-4	-3	5	-7
52080bn4	19530h4	32550h4	45570br4

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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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