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	87120gi	Isogeny class
Conductor	87120	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1774080	Modular degree for the optimal curve
Δ	-367578956463467760 = -1 · 24 · 311 · 5 · 1110	Discriminant
Eigenvalues	2- 3- 5-  4 11- -2  5 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-834537,-294884381]	[a1,a2,a3,a4,a6]
Generators	[448597403398247530:5397637626180491607:399680381503781]	Generators of the group modulo torsion
j	-212464384/1215	j-invariant
L	8.637705139508	L(r)(E,1)/r!
Ω	0.078951372257529	Real period
R	27.351345811106	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	21780be1 29040de1 87120gj1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 87120gi1

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
-	-	-	4	-	-2	5	-8	5	-6	9	-4	-6	-6	-13	-9	-10	11	-12	8	-4	-5	8	8	0

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Quadratic twists for elliptic curve 87120gi1

-4	-3	-11
21780be1	29040de1	87120gj1

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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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