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	4	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-1896510189404160 = -1 · 216 · 33 · 5 · 118	Discriminant
Eigenvalues	2+ 3+ 5-  0 11- -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,30853,-185379]	[a1,a2,a3,a4,a6]
Generators	[307825:9247848:343]	Generators of the group modulo torsion
j	1833318007919/1070530560	j-invariant
L	2.3162073231575	L(r)(E,1)/r!
Ω	0.27612060320318	Real period
R	8.3883900595897	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	29040dh1 116160cw1 10890bo1 18150cp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630d1

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 3630d1

-4	8	-3	5	-11
29040dh1	116160cw1	10890bo1	18150cp1	330c1

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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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