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	630g	Isogeny class
Conductor	630	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	-17791873043414400 = -1 · 27 · 39 · 52 · 710	Discriminant
Eigenvalues	2- 3+ 5+ 7+  4  6 -4  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-28838,-6681419]	[a1,a2,a3,a4,a6]
j	-134745327251163/903920796800	j-invariant
L	2.2808457588919	L(r)(E,1)/r!
Ω	0.16291755420656	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	5040x2 20160s2 630b2 3150d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 630g2

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	6	-4	6	0	6	-4	8	-10	-2	-10	-14	4	-8	6	2	-10	16	8	-2	2

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Quadratic twists for elliptic curve 630g2

-4	8	-3	5	-7	-11	13
5040x2	20160s2	630b2	3150d2	4410y2	76230g2	106470p2

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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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