Cremona's table of elliptic curves

118080 = 2⁶ · 3² · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 41+	Signs for the Atkin-Lehner involutions
Class	118080er	Isogeny class
Conductor	118080	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	294912	Modular degree for the optimal curve
Δ	1411717248000 = 210 · 38 · 53 · 412	Discriminant
Eigenvalues	2- 3- 5+ -4  4 -4  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-13008,-568168]	[a1,a2,a3,a4,a6]
Generators	[134:308:1]	Generators of the group modulo torsion
j	326082740224/1891125	j-invariant
L	4.1178270171384	L(r)(E,1)/r!
Ω	0.44719671285498	Real period
R	4.6040443206354	Regulator
r	1	Rank of the group of rational points
S	1.0000000109487	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	118080be1 29520cc1 39360cg1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 118080er1

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	4	-4	4	-4	-6	-10	0	-6	+	2	12	4	0	2	-16	0	-14	0	14	6	-4

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Quadratic twists for elliptic curve 118080er1

-4	8	-3
118080be1	29520cc1	39360cg1

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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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