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	87120ga	Isogeny class
Conductor	87120	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-8269593750000 = -1 · 24 · 37 · 59 · 112	Discriminant
Eigenvalues	2- 3- 5-  2 11-  4 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,4983,-28501]	[a1,a2,a3,a4,a6]
Generators	[58:675:1]	Generators of the group modulo torsion
j	9695350016/5859375	j-invariant
L	8.2733154326382	L(r)(E,1)/r!
Ω	0.42795601257924	Real period
R	1.0740090600736	Regulator
r	1	Rank of the group of rational points
S	1.0000000007039	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	21780z2 29040cf2 87120gc2	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 87120ga2

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	-	4	-3	-4	-3	0	1	2	6	8	3	-9	12	-5	-2	12	-8	-1	0	-6	-10

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Quadratic twists for elliptic curve 87120ga2

-4	-3	-11
21780z2	29040cf2	87120gc2

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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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