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	11760cf	Isogeny class
Conductor	11760	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-289013760 = -1 · 217 · 32 · 5 · 72	Discriminant
Eigenvalues	2- 3- 5+ 7-  1 -7  4  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-576,-5580]	[a1,a2,a3,a4,a6]
j	-105484561/1440	j-invariant
L	1.9471904439519	L(r)(E,1)/r!
Ω	0.48679761098799	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	1470j1 47040fc1 35280fi1 58800fl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760cf1

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	-7	4	1	-1	-8	6	-3	-9	4	-3	-1	12	4	-12	14	14	-4	12	2	16

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Quadratic twists for elliptic curve 11760cf1

-4	8	-3	5	-7
1470j1	47040fc1	35280fi1	58800fl1	11760bt1

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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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