Cremona's table of elliptic curves

304 = 2⁴ · 19

Field	Data	Notes
Atkin-Lehner	2- 19+	Signs for the Atkin-Lehner involutions
Conductor	304	Conductor
Count	3	Number of curves in isogeny class
Curves	304e1 304e2 304e3	Curves in isogeny class
deg	24	Modular degree for the optimal curve
Eigenvalues	2-  2  3  1 -3 -4 -3 19+	Hecke eigenvalues for primes less than 20
L	2.0635461958586	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	19a 1216q 2736q 7600m	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 304e

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
-	2	3	1	-3	-4	-3	+	0	6	4	2	-6	1	3	12	6	-1	4	-6	-7	-8	-12	12	8

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Quadratic twists for isogeny class 304e

-4	8	-3	5	-7	-11	13	17	-19
19a	1216q	2736q	7600m	14896bg	36784bj	51376x	87856l	5776q

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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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