Cremona's table of elliptic curves

9120 = 2⁵ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 19+	Signs for the Atkin-Lehner involutions
Class	9120b	Isogeny class
Conductor	9120	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	1039680 = 26 · 32 · 5 · 192	Discriminant
Eigenvalues	2+ 3+ 5+  2  0  0 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-66,-180]	[a1,a2,a3,a4,a6]
Generators	[-4:2:1]	Generators of the group modulo torsion
j	504358336/16245	j-invariant
L	3.6552558736314	L(r)(E,1)/r!
Ω	1.6761911886121	Real period
R	1.0903457488814	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9120h1 18240ct2 27360bc1 45600br1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9120b1

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	0	0	-2	+	-2	2	0	8	-6	10	-10	-8	4	-2	4	0	-2	-8	-6	2	0

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Quadratic twists for elliptic curve 9120b1

-4	8	-3	5
9120h1	18240ct2	27360bc1	45600br1

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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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