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	128	Product of Tamagawa factors cp
Δ	22197105717187500 = 22 · 36 · 58 · 117	Discriminant
Eigenvalues	2+ 3+ 5-  0 11- -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-20701287,36244390329]	[a1,a2,a3,a4,a6]
Generators	[1953:56196:1]	Generators of the group modulo torsion
j	553808571467029327441/12529687500	j-invariant
L	2.3162073231575	L(r)(E,1)/r!
Ω	0.27612060320318	Real period
R	1.0485487574487	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	29040dh6 116160cw6 10890bo5 18150cp5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630d5

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 3630d5

-4	8	-3	5	-11
29040dh6	116160cw6	10890bo5	18150cp5	330c5

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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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