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	5796a	Isogeny class
Conductor	5796	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-1112832 = -1 · 28 · 33 · 7 · 23	Discriminant
Eigenvalues	2- 3+  2 7- -3 -4  8 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-24,68]	[a1,a2,a3,a4,a6]
Generators	[4:6:1]	Generators of the group modulo torsion
j	-221184/161	j-invariant
L	4.456230112437	L(r)(E,1)/r!
Ω	2.5330051490191	Real period
R	0.29321101815648	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	23184ba1 92736o1 5796c1 40572c1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5796a1

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	-	-3	-4	8	-5	+	-8	4	-8	-1	6	-9	-3	-3	-3	10	8	-16	12	-10	-12	2

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Quadratic twists for elliptic curve 5796a1

-4	8	-3	-7
23184ba1	92736o1	5796c1	40572c1

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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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