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	87120fl	Isogeny class
Conductor	87120	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	9.4489056709419E+22	Discriminant
Eigenvalues	2- 3- 5-  0 11- -2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-24629187,44661020866]	[a1,a2,a3,a4,a6]
Generators	[-3823:288000:1]	Generators of the group modulo torsion
j	312341975961049/17862322500	j-invariant
L	7.5260699757544	L(r)(E,1)/r!
Ω	0.10526714405528	Real period
R	4.4684348340037	Regulator
r	1	Rank of the group of rational points
S	1.000000000238	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	10890v2 29040cu2 7920bj2	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 87120fl2

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
-	-	-	0	-	-2	-2	8	4	2	-8	-2	6	8	-4	-2	4	6	12	-12	-2	0	-4	6	-14

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Quadratic twists for elliptic curve 87120fl2

-4	-3	-11
10890v2	29040cu2	7920bj2

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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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