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	11760cl	Isogeny class
Conductor	11760	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	16128	Modular degree for the optimal curve
Δ	-2767104480000 = -1 · 28 · 3 · 54 · 78	Discriminant
Eigenvalues	2- 3- 5- 7+  2  1 -4  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,915,-79017]	[a1,a2,a3,a4,a6]
j	57344/1875	j-invariant
L	3.1099814245957	L(r)(E,1)/r!
Ω	0.38874767807447	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2940d1 47040dw1 35280ds1 58800eu1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760cl1

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	1	-4	1	-4	0	5	-5	2	9	2	12	8	-14	-9	-2	1	3	18	-4	10

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Quadratic twists for elliptic curve 11760cl1

-4	8	-3	5	-7
2940d1	47040dw1	35280ds1	58800eu1	11760bm1

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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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