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	11760cm	Isogeny class
Conductor	11760	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	74880	Modular degree for the optimal curve
Δ	-2265867878400000 = -1 · 225 · 32 · 55 · 74	Discriminant
Eigenvalues	2- 3- 5- 7+  5 -5 -4  7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-47840,-4649100]	[a1,a2,a3,a4,a6]
j	-1231272543361/230400000	j-invariant
L	3.1957102394265	L(r)(E,1)/r!
Ω	0.15978551197132	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	1470l1 47040dy1 35280du1 58800ez1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760cm1

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
-	-	-	+	5	-5	-4	7	-1	0	2	1	5	-12	11	-9	-4	4	12	-2	10	12	12	14	-8

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Quadratic twists for elliptic curve 11760cm1

-4	8	-3	5	-7
1470l1	47040dy1	35280du1	58800ez1	11760bs1

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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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