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	-2874316164964790490 = -1 · 2 · 32 · 5 · 716 · 312	Discriminant
Eigenvalues	2- 3- 5- 7+  4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,341180,-27717910]	[a1,a2,a3,a4,a6]
j	4392121313798047005119/2874316164964790490	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	52080bp5 19530j6 32550k5 45570bs5	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6510z6

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 6510z6

-4	-3	5	-7
52080bp5	19530j6	32550k5	45570bs5

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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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