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	18480dc	Isogeny class
Conductor	18480	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	73728	Modular degree for the optimal curve
Δ	3193344000 = 212 · 34 · 53 · 7 · 11	Discriminant
Eigenvalues	2- 3- 5- 7+ 11- -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-259880,50906100]	[a1,a2,a3,a4,a6]
Generators	[295:30:1]	Generators of the group modulo torsion
j	473897054735271721/779625	j-invariant
L	6.210741384787	L(r)(E,1)/r!
Ω	0.91311887409999	Real period
R	0.56680657551375	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	1155f1 73920ec1 55440cv1 92400em1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480dc1

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

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Quadratic twists for elliptic curve 18480dc1

-4	8	-3	5	-7
1155f1	73920ec1	55440cv1	92400em1	129360eh1

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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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