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	72	Product of Tamagawa factors cp
Δ	-165375000 = -1 · 23 · 33 · 56 · 72	Discriminant
Eigenvalues	2- 3+ 5- 7-  0  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,73,551]	[a1,a2,a3,a4,a6]
j	1613964717/6125000	j-invariant
L	2.5822999144028	L(r)(E,1)/r!
Ω	1.2911499572014	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	5040y2 20160h2 630a4 3150b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 630h2

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 630h2

-4	8	-3	5	-7	-11	13
5040y2	20160h2	630a4	3150b2	4410v2	76230i2	106470a2

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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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