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	558d1 558d2	Curves in isogeny class
deg	160	Modular degree for the optimal curve
Eigenvalues	2+ 3- -1 -2  3 -1 -3 -5	Hecke eigenvalues for primes less than 20
L	1.4837330243502	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4464s 17856y 186b 13950co	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 558d

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	-2	3	-1	-3	-5	-4	0	-	-2	-2	-6	7	-14	-10	7	-7	3	-6	15	1	-10	13

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Quadratic twists for isogeny class 558d

-4	8	-3	5	-7	-11	13	-31
4464s	17856y	186b	13950co	27342f	67518bz	94302bw	17298g

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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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