Cremona's table of elliptic curves

5676 = 2² · 3 · 11 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 43-	Signs for the Atkin-Lehner involutions
Class	5676h	Isogeny class
Conductor	5676	Conductor
∏ cp	231	Product of Tamagawa factors cp
deg	27720	Modular degree for the optimal curve
Δ	-2375040590222256 = -1 · 24 · 311 · 117 · 43	Discriminant
Eigenvalues	2- 3-  1 -1 11-  6 -7 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,12755,2282492]	[a1,a2,a3,a4,a6]
Generators	[947:29403:1]	Generators of the group modulo torsion
j	14342044606398464/148440036888891	j-invariant
L	4.9354457196868	L(r)(E,1)/r!
Ω	0.33793890910761	Real period
R	0.063223160489302	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	22704r1 90816c1 17028g1 62436k1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5676h1

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
-	-	1	-1	-	6	-7	-4	-6	-2	-1	-8	-9	-	-12	2	4	-1	3	-5	9	6	-3	15	3

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Quadratic twists for elliptic curve 5676h1

-4	8	-3	-11
22704r1	90816c1	17028g1	62436k1

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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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