Cremona's table of elliptic curves

418 = 2 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 11- 19-	Signs for the Atkin-Lehner involutions
Conductor	418	Conductor
Count	1	Number of curves in isogeny class
Curves	418c1	Curves in isogeny class
deg	56	Modular degree for the optimal curve
Eigenvalues	2-  3 -2  1 11- -7 -3 19-	Hecke eigenvalues for primes less than 20
L	3.0547661583079	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3344g 13376e 3762e 10450j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 418c

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	-2	1	-	-7	-3	-	3	1	2	-6	-2	4	0	3	7	-12	15	6	-9	-8	16	-16	8

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Quadratic twists for isogeny class 418c

-4	8	-3	5	-7	-11	13	17	-19
3344g	13376e	3762e	10450j	20482m	4598h	70642c	120802j	7942k

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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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