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	630a	Isogeny class
Conductor	630	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	185220 = 22 · 33 · 5 · 73	Discriminant
Eigenvalues	2+ 3+ 5+ 7-  0  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-105,441]	[a1,a2,a3,a4,a6]
j	4767078987/6860	j-invariant
L	1.063854504468	L(r)(E,1)/r!
Ω	3.1915635134039	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	5040u1 20160t1 630h3 3150w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 630a1

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 630a1

-4	8	-3	5	-7	-11	13
5040u1	20160t1	630h3	3150w1	4410d1	76230ct1	106470dn1

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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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