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	87120dj	Isogeny class
Conductor	87120	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	608256	Modular degree for the optimal curve
Δ	23706377367552000 = 215 · 33 · 53 · 118	Discriminant
Eigenvalues	2- 3+ 5-  1 11-  5  3  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-75867,-3133174]	[a1,a2,a3,a4,a6]
j	2037123/1000	j-invariant
L	3.6287029935085	L(r)(E,1)/r!
Ω	0.30239191042659	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	10890bh1 87120cw2 87120dk1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 87120dj1

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 87120dj1

-4	-3	-11
10890bh1	87120cw2	87120dk1

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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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