Cremona's table of elliptic curves

2409 = 3 · 11 · 73

Field	Data	Notes
Atkin-Lehner	3- 11- 73-	Signs for the Atkin-Lehner involutions
Conductor	2409	Conductor
Count	4	Number of curves in isogeny class
Curves	2409f1 2409f2 2409f3 2409f4	Curves in isogeny class
deg	560	Modular degree for the optimal curve
Eigenvalues	-1 3-  2 -4 11-  6 -2  4	Hecke eigenvalues for primes less than 20
L	1.4204767190353	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	38544i 7227e 60225f 118041d	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 2409f

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	-4	-	6	-2	4	0	2	4	-10	-6	8	0	2	-4	-2	-4	8	-	16	12	10	18

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Quadratic twists for isogeny class 2409f

-4	-3	5	-7	-11
38544i	7227e	60225f	118041d	26499i

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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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