Cremona's table of elliptic curves

87120 = 2⁴ · 3² · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11+	Signs for the Atkin-Lehner involutions
Class	87120cs	Isogeny class
Conductor	87120	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	6082560	Modular degree for the optimal curve
Δ	1.2166492167066E+23	Discriminant
Eigenvalues	2- 3+ 5+ -2 11+  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-13620123,-9627306678]	[a1,a2,a3,a4,a6]
j	1469878353/640000	j-invariant
L	0.65420773100409	L(r)(E,1)/r!
Ω	0.08177595131063	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	10890bc1 87120df1 87120cr1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 87120cs1

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	+	2	-2	-4	2	2	-8	6	-10	-8	6	2	-12	-2	4	-6	0	10	4	-8	-2

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Quadratic twists for elliptic curve 87120cs1

-4	-3	-11
10890bc1	87120df1	87120cr1

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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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