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	6510z	Isogeny class
Conductor	6510	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	184301224280625690 = 2 · 32 · 5 · 74 · 318	Discriminant
Eigenvalues	2- 3- 5- 7+  4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1171720,-487844890]	[a1,a2,a3,a4,a6]
j	177907912580185004004481/184301224280625690	j-invariant
L	4.6437687231495	L(r)(E,1)/r!
Ω	0.14511777259842	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	52080bp6 19530j5 32550k6 45570bs6	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6510z5

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
-	-	-	+	4	-2	-6	4	0	6	+	6	10	-4	0	6	-4	-10	4	8	2	16	4	-6	2

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Quadratic twists for elliptic curve 6510z5

-4	-3	5	-7
52080bp6	19530j5	32550k6	45570bs6

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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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