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
Class	11760bb	Isogeny class
Conductor	11760	Conductor
∏ cp	1176	Product of Tamagawa factors cp
deg	658560	Modular degree for the optimal curve
Δ	-4.411658315867E+21	Discriminant
Eigenvalues	2+ 3- 5- 7+  1 -5 -4 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,410800,-3193904652]	[a1,a2,a3,a4,a6]
Generators	[1486:26460:1]	Generators of the group modulo torsion
j	649381163998/373669453125	j-invariant
L	5.7618875720619	L(r)(E,1)/r!
Ω	0.064509805429397	Real period
R	0.07595069043139	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5880v1 47040dv1 35280x1 58800d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760bb1

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	-5	-4	-5	3	8	-6	9	-3	4	-1	-9	4	-4	-4	-2	-14	4	4	-2	-8

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Quadratic twists for elliptic curve 11760bb1

-4	8	-3	5	-7
5880v1	47040dv1	35280x1	58800d1	11760d1

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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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