Cremona's table of elliptic curves

3630 = 2 · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 11+	Signs for the Atkin-Lehner involutions
Class	3630j	Isogeny class
Conductor	3630	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	129373200 = 24 · 35 · 52 · 113	Discriminant
Eigenvalues	2+ 3- 5- -2 11+  0 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1378,19556]	[a1,a2,a3,a4,a6]
Generators	[10:77:1]	Generators of the group modulo torsion
j	217190179331/97200	j-invariant
L	3.1433501276154	L(r)(E,1)/r!
Ω	1.8233910783434	Real period
R	0.17239034263956	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	29040cj1 116160f1 10890bl1 18150bs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630j1

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
+	-	-	-2	+	0	-2	-2	0	-6	0	-6	6	-2	-4	2	-8	0	4	12	-16	2	-8	-6	10

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Quadratic twists for elliptic curve 3630j1

-4	8	-3	5	-11
29040cj1	116160f1	10890bl1	18150bs1	3630x1

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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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