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	3720b	Isogeny class
Conductor	3720	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	42555847680 = 210 · 32 · 5 · 314	Discriminant
Eigenvalues	2+ 3+ 5-  4 -4 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1280,-14148]	[a1,a2,a3,a4,a6]
j	226669409284/41558445	j-invariant
L	1.6164174874506	L(r)(E,1)/r!
Ω	0.80820874372528	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7440h4 29760z3 11160m4 18600ba3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3720b3

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

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Quadratic twists for elliptic curve 3720b3

-4	8	-3	5	-31
7440h4	29760z3	11160m4	18600ba3	115320l3

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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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