Cremona's table of elliptic curves

18480 = 2⁴ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	18480cu	Isogeny class
Conductor	18480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	92160	Modular degree for the optimal curve
Δ	1364188987392000 = 232 · 3 · 53 · 7 · 112	Discriminant
Eigenvalues	2- 3- 5+ 7- 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-111336,14150964]	[a1,a2,a3,a4,a6]
Generators	[6429:29546:27]	Generators of the group modulo torsion
j	37262716093162729/333053952000	j-invariant
L	5.9631545679428	L(r)(E,1)/r!
Ω	0.48355421617758	Real period
R	6.1659627487901	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	2310a1 73920fq1 55440eo1 92400dr1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480cu1

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

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Quadratic twists for elliptic curve 18480cu1

-4	8	-3	5	-7
2310a1	73920fq1	55440eo1	92400dr1	129360fi1

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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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