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	3630i	Isogeny class
Conductor	3630	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	2811072000 = 29 · 3 · 53 · 114	Discriminant
Eigenvalues	2+ 3- 5+ -1 11- -1 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1939,-32914]	[a1,a2,a3,a4,a6]
Generators	[-210:161:8]	Generators of the group modulo torsion
j	55025549689/192000	j-invariant
L	2.857369516812	L(r)(E,1)/r!
Ω	0.71965286832241	Real period
R	3.9704830517425	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29040by2 116160bt2 10890cb2 18150bx2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630i2

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
+	-	+	-1	-	-1	-3	-1	6	3	-4	-1	0	-4	6	6	-6	-10	2	-15	-4	-10	3	12	8

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Quadratic twists for elliptic curve 3630i2

-4	8	-3	5	-11
29040by2	116160bt2	10890cb2	18150bx2	3630u2

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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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