Cremona's table of elliptic curves

532 = 2² · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 7- 19-	Signs for the Atkin-Lehner involutions
Conductor	532	Conductor
Count	2	Number of curves in isogeny class
Curves	532a1 532a2	Curves in isogeny class
deg	30	Modular degree for the optimal curve
Eigenvalues	2-  0 -2 7-  4  4  6 19-	Hecke eigenvalues for primes less than 20
L	1.3655766059918	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2128a 8512b 4788f 13300d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 532a

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

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Quadratic twists for isogeny class 532a

-4	8	-3	5	-7	-11	13	-19
2128a	8512b	4788f	13300d	3724a	64372c	89908b	10108b

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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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