Cremona's table of elliptic curves

11760 = 2⁴ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	11760	Conductor
Count	6	Number of curves in isogeny class
Curves	11760x1 11760x2 11760x3 11760x4 11760x5 11760x6	Curves in isogeny class
deg	6144	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7-  4 -6  6 -4	Hecke eigenvalues for primes less than 20
L	5.3062832109843	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	5880u 47040fm 35280cr 58800bd	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 11760x

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
+	-	+	-	4	-6	6	-4	0	-2	-8	-2	6	-12	8	6	12	-14	-4	-8	6	8	-12	-10	-2

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Quadratic twists for isogeny class 11760x

-4	8	-3	5	-7
5880u	47040fm	35280cr	58800bd	240a

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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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