Cremona's table of elliptic curves

5635 = 5 · 7² · 23

Field	Data	Notes
Atkin-Lehner	5+ 7- 23+	Signs for the Atkin-Lehner involutions
Class	5635c	Isogeny class
Conductor	5635	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-299954571875 = -1 · 55 · 73 · 234	Discriminant
Eigenvalues	2 -1 5+ 7- -3 -1  5  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,1594,-10263]	[a1,a2,a3,a4,a6]
j	1305034698752/874503125	j-invariant
L	2.2069704493378	L(r)(E,1)/r!
Ω	0.55174261233444	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	90160ca1 50715bv1 28175l1 5635f1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5635c1

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

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Quadratic twists for elliptic curve 5635c1

-4	-3	5	-7	-23
90160ca1	50715bv1	28175l1	5635f1	129605bg1

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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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