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	118080dn	Isogeny class
Conductor	118080	Conductor
∏ cp	88	Product of Tamagawa factors cp
deg	1419264	Modular degree for the optimal curve
Δ	-113356800000000000 = -1 · 221 · 33 · 511 · 41	Discriminant
Eigenvalues	2- 3+ 5-  5  0 -4 -2 -3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-159852,29453904]	[a1,a2,a3,a4,a6]
Generators	[378:4800:1]	Generators of the group modulo torsion
j	-63822564229347/16015625000	j-invariant
L	8.9026420806075	L(r)(E,1)/r!
Ω	0.31702549862759	Real period
R	0.31911119809347	Regulator
r	1	Rank of the group of rational points
S	1.0000000057964	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	118080p1 29520x1 118080dj1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 118080dn1

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	0	-4	-2	-3	3	-8	3	-9	+	5	-12	-1	1	2	-2	8	12	14	4	17	-18

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Quadratic twists for elliptic curve 118080dn1

-4	8	-3
118080p1	29520x1	118080dj1

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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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