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	28	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	27100133867520 = 214 · 39 · 5 · 75	Discriminant
Eigenvalues	2- 3+ 5+ 7+  4  6 -4  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-46118,-3792203]	[a1,a2,a3,a4,a6]
j	551105805571803/1376829440	j-invariant
L	2.2808457588919	L(r)(E,1)/r!
Ω	0.32583510841313	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	5040x1 20160s1 630b1 3150d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 630g1

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 630g1

-4	8	-3	5	-7	-11	13
5040x1	20160s1	630b1	3150d1	4410y1	76230g1	106470p1

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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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