Cremona's table of elliptic curves

558 = 2 · 3² · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 31-	Signs for the Atkin-Lehner involutions
Conductor	558	Conductor
Count	2	Number of curves in isogeny class
Curves	558f1 558f2	Curves in isogeny class
deg	240	Modular degree for the optimal curve
Eigenvalues	2- 3+ -3 -4 -3  5 -3 -7	Hecke eigenvalues for primes less than 20
L	2.3825303331677	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4464n 17856i 558b 13950i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 558f

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
-	+	-3	-4	-3	5	-3	-7	-6	-6	-	2	12	8	3	-12	-6	5	11	3	-4	-13	3	6	-7

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Quadratic twists for isogeny class 558f

-4	8	-3	5	-7	-11	13	-31
4464n	17856i	558b	13950i	27342w	67518f	94302d	17298n

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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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