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	3630d	Isogeny class
Conductor	3630	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	121013648218425600 = 28 · 36 · 52 · 1110	Discriminant
Eigenvalues	2+ 3+ 5-  0 11- -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-124027,-1641251]	[a1,a2,a3,a4,a6]
Generators	[438:5101:1]	Generators of the group modulo torsion
j	119102750067601/68309049600	j-invariant
L	2.3162073231575	L(r)(E,1)/r!
Ω	0.27612060320318	Real period
R	4.1941950297948	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	29040dh2 116160cw2 10890bo2 18150cp2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630d2

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	-	-6	-2	4	0	10	0	6	-2	-4	-8	-10	-4	2	-4	-8	-2	8	12	-6	18

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Quadratic twists for elliptic curve 3630d2

-4	8	-3	5	-11
29040dh2	116160cw2	10890bo2	18150cp2	330c2

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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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