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	5676j	Isogeny class
Conductor	5676	Conductor
∏ cp	30	Product of Tamagawa factors cp
deg	20160	Modular degree for the optimal curve
Δ	80775451152 = 24 · 36 · 115 · 43	Discriminant
Eigenvalues	2- 3- -2 -5 11-  4  4 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-57934,5347925]	[a1,a2,a3,a4,a6]
Generators	[137:33:1]	Generators of the group modulo torsion
j	1344038690471072512/5048465697	j-invariant
L	3.6638421130947	L(r)(E,1)/r!
Ω	0.95013283103289	Real period
R	0.12853789117436	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	22704u1 90816f1 17028j1 62436n1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5676j1

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	-5	-	4	4	-7	5	3	1	8	-2	-	-3	-3	3	-7	-13	-6	-10	-12	-8	4	-3

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Quadratic twists for elliptic curve 5676j1

-4	8	-3	-11
22704u1	90816f1	17028j1	62436n1

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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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