Cremona's table of elliptic curves

630 = 2 · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7-	Signs for the Atkin-Lehner involutions
Class	630h	Isogeny class
Conductor	630	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-115784263350 = -1 · 2 · 39 · 52 · 76	Discriminant
Eigenvalues	2- 3+ 5- 7-  0  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-677,-17549]	[a1,a2,a3,a4,a6]
j	-1740992427/5882450	j-invariant
L	2.5822999144028	L(r)(E,1)/r!
Ω	0.43038331906713	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5040y4 20160h4 630a2 3150b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 630h4

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	2	0	2	0	-6	8	-4	-6	2	6	-6	-12	8	2	-6	2	-16	0	-6	-10

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Quadratic twists for elliptic curve 630h4

-4	8	-3	5	-7	-11	13
5040y4	20160h4	630a2	3150b4	4410v4	76230i4	106470a4

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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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