Cremona's table of elliptic curves

3720 = 2³ · 3 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 31-	Signs for the Atkin-Lehner involutions
Class	3720d	Isogeny class
Conductor	3720	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	4464000000 = 210 · 32 · 56 · 31	Discriminant
Eigenvalues	2+ 3- 5+ -2  0  0  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-536,3360]	[a1,a2,a3,a4,a6]
Generators	[4:36:1]	Generators of the group modulo torsion
j	16662038116/4359375	j-invariant
L	3.8058442957724	L(r)(E,1)/r!
Ω	1.2892434710846	Real period
R	1.4759990572497	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	7440b2 29760t2 11160s2 18600s2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3720d2

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	0	2	0	0	-8	-	-8	2	0	-8	6	10	-6	14	-6	-4	-16	-12	-8	-10

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Quadratic twists for elliptic curve 3720d2

-4	8	-3	5	-31
7440b2	29760t2	11160s2	18600s2	115320c2

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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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