Cremona's table of elliptic curves

5635 = 5 · 7² · 23

Field	Data	Notes
Atkin-Lehner	5- 7- 23-	Signs for the Atkin-Lehner involutions
Conductor	5635	Conductor
Count	4	Number of curves in isogeny class
Curves	5635k1 5635k2 5635k3 5635k4	Curves in isogeny class
deg	17280	Modular degree for the optimal curve
Eigenvalues	-1  0 5- 7- -4  2 -6 -4	Hecke eigenvalues for primes less than 20
L	0.50393180562969	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	90160cp 50715p 28175d 805c	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 5635k

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

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Quadratic twists for isogeny class 5635k

-4	-3	5	-7	-23
90160cp	50715p	28175d	805c	129605g

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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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