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	12	Product of Tamagawa factors cp
Δ	135025380 = 22 · 39 · 5 · 73	Discriminant
Eigenvalues	2- 3+ 5- 7-  0  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-947,-10961]	[a1,a2,a3,a4,a6]
j	4767078987/6860	j-invariant
L	2.5822999144028	L(r)(E,1)/r!
Ω	0.86076663813425	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	5040y3 20160h3 630a1 3150b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 630h3

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 630h3

-4	8	-3	5	-7	-11	13
5040y3	20160h3	630a1	3150b3	4410v3	76230i3	106470a3

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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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