Cremona's table of elliptic curves

3792 = 2⁴ · 3 · 79

Field	Data	Notes
Atkin-Lehner	2+ 3- 79-	Signs for the Atkin-Lehner involutions
Class	3792a	Isogeny class
Conductor	3792	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	-242688 = -1 · 210 · 3 · 79	Discriminant
Eigenvalues	2+ 3- -2 -1 -1 -1  3  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-24,-60]	[a1,a2,a3,a4,a6]
Generators	[8:18:1]	Generators of the group modulo torsion
j	-1556068/237	j-invariant
L	3.68252506832	L(r)(E,1)/r!
Ω	1.0658242603474	Real period
R	1.7275479670164	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1896a1 15168i1 11376d1 94800c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3792a1

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	-1	-1	-1	3	6	-1	-3	-8	-4	10	1	-4	-2	2	-8	6	14	-17	-	-11	-12	-17

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Quadratic twists for elliptic curve 3792a1

-4	8	-3	5
1896a1	15168i1	11376d1	94800c1

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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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