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	11760f	Isogeny class
Conductor	11760	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-31252519196881920 = -1 · 210 · 32 · 5 · 714	Discriminant
Eigenvalues	2+ 3+ 5+ 7- -4  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,7824,8498736]	[a1,a2,a3,a4,a6]
j	439608956/259416045	j-invariant
L	1.1550450947918	L(r)(E,1)/r!
Ω	0.28876127369794	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5880bc4 47040hd3 35280cl3 58800do3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760f4

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

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Quadratic twists for elliptic curve 11760f4

-4	8	-3	5	-7
5880bc4	47040hd3	35280cl3	58800do3	1680h4

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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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