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	87120ew	Isogeny class
Conductor	87120	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	11001240747129600 = 28 · 36 · 52 · 119	Discriminant
Eigenvalues	2- 3- 5+ -4 11-  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-7732263,8275761362]	[a1,a2,a3,a4,a6]
j	154639330142416/33275	j-invariant
L	0.64148935029526	L(r)(E,1)/r!
Ω	0.32074471706017	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	21780n4 9680bc4 7920ba4	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 87120ew4

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	-	4	0	-4	-6	-6	-8	2	6	8	6	6	-12	-2	10	-12	16	8	0	-6	14

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Quadratic twists for elliptic curve 87120ew4

-4	-3	-11
21780n4	9680bc4	7920ba4

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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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