Cremona's table of elliptic curves

5796 = 2² · 3² · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 23+	Signs for the Atkin-Lehner involutions
Class	5796b	Isogeny class
Conductor	5796	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	10368	Modular degree for the optimal curve
Δ	-1317418442928 = -1 · 24 · 33 · 78 · 232	Discriminant
Eigenvalues	2- 3+ -4 7-  0  2 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1872,-63415]	[a1,a2,a3,a4,a6]
Generators	[76:483:1]	Generators of the group modulo torsion
j	-1679412953088/3049579729	j-invariant
L	3.1058897545192	L(r)(E,1)/r!
Ω	0.34221349442475	Real period
R	0.37816180604597	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	23184bc1 92736q1 5796d1 40572e1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5796b1

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

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Quadratic twists for elliptic curve 5796b1

-4	8	-3	-7
23184bc1	92736q1	5796d1	40572e1

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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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