Cremona's table of elliptic curves

338 = 2 · 13²

Field	Data	Notes
Atkin-Lehner	2- 13-	Signs for the Atkin-Lehner involutions
Conductor	338	Conductor
Count	2	Number of curves in isogeny class
Curves	338e1 338e2	Curves in isogeny class
deg	24	Modular degree for the optimal curve
Eigenvalues	2- -1 -3 -3  0 13- -3 -6	Hecke eigenvalues for primes less than 20
L	1.7940807919285	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2704n 10816s 3042h 8450h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 338e

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	-3	-3	0	-	-3	-6	6	0	0	-3	0	1	-3	-6	6	-8	-12	15	-6	10	6	6	-12

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Quadratic twists for isogeny class 338e

-4	8	-3	5	-7	-11	13	17	-19
2704n	10816s	3042h	8450h	16562bu	40898x	338d	97682r	122018r

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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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