Cremona's table of elliptic curves

506 = 2 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 11+ 23-	Signs for the Atkin-Lehner involutions
Conductor	506	Conductor
Count	1	Number of curves in isogeny class
Curves	506b1	Curves in isogeny class
deg	2856	Modular degree for the optimal curve
Eigenvalues	2+  0 -3  3 11+  5  5 -2	Hecke eigenvalues for primes less than 20
L	0.89516089205849	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4048i 16192j 4554bg 12650r	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 506b

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	-3	3	+	5	5	-2	-	9	7	3	-8	10	-7	10	12	6	-3	-7	-8	-5	14	8	-8

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Quadratic twists for isogeny class 506b

-4	8	-3	5	-7	-11	13	-23
4048i	16192j	4554bg	12650r	24794g	5566h	85514q	11638h

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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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