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	11760p	Isogeny class
Conductor	11760	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-5336558640 = -1 · 24 · 34 · 5 · 77	Discriminant
Eigenvalues	2+ 3+ 5- 7-  4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,425,862]	[a1,a2,a3,a4,a6]
Generators	[-6:748:27]	Generators of the group modulo torsion
j	4499456/2835	j-invariant
L	4.4461633250201	L(r)(E,1)/r!
Ω	0.8431750066664	Real period
R	5.2731203959645	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5880bj1 47040gi1 35280br1 58800di1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760p1

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

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Quadratic twists for elliptic curve 11760p1

-4	8	-3	5	-7
5880bj1	47040gi1	35280br1	58800di1	1680f1

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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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