Cremona's table of elliptic curves

11840 = 2⁶ · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 5- 37-	Signs for the Atkin-Lehner involutions
Class	11840u	Isogeny class
Conductor	11840	Conductor
∏ cp	140	Product of Tamagawa factors cp
deg	94080	Modular degree for the optimal curve
Δ	-177520529920000000 = -1 · 215 · 57 · 375	Discriminant
Eigenvalues	2+ -2 5- -3  1 -4 -3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,123615,-11408225]	[a1,a2,a3,a4,a6]
Generators	[1415:-54760:1]	Generators of the group modulo torsion
j	6375052761771448/5417496640625	j-invariant
L	2.6391569542074	L(r)(E,1)/r!
Ω	0.17699774593702	Real period
R	0.10650486536811	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11840t1 5920j1 106560cc1 59200n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11840u1

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	-	-3	1	-4	-3	-2	6	-3	1	-	-5	3	12	3	0	-7	4	2	0	8	0	14	15

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Quadratic twists for elliptic curve 11840u1

-4	8	-3	5
11840t1	5920j1	106560cc1	59200n1

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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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