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	87120dk	Isogeny class
Conductor	87120	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	55296	Modular degree for the optimal curve
Δ	13381632000 = 215 · 33 · 53 · 112	Discriminant
Eigenvalues	2- 3+ 5- -1 11- -5 -3 -7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-627,2354]	[a1,a2,a3,a4,a6]
Generators	[-17:90:1] [-7:80:1]	Generators of the group modulo torsion
j	2037123/1000	j-invariant
L	11.247188403189	L(r)(E,1)/r!
Ω	1.1170497438069	Real period
R	0.41952728849443	Regulator
r	2	Rank of the group of rational points
S	1.0000000000004	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	10890h1 87120cx2 87120dj1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 87120dk1

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
-	+	-	-1	-	-5	-3	-7	-6	-3	4	-7	0	8	-12	6	12	-8	-8	-3	-8	-4	-9	-18	8

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Quadratic twists for elliptic curve 87120dk1

-4	-3	-11
10890h1	87120cx2	87120dj1

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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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