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	18480cb	Isogeny class
Conductor	18480	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	240000	Modular degree for the optimal curve
Δ	-69580011916800000 = -1 · 212 · 35 · 55 · 75 · 113	Discriminant
Eigenvalues	2- 3+ 5- 7+ 11+ -6 -7  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-143045,-24338643]	[a1,a2,a3,a4,a6]
Generators	[1804:74735:1]	Generators of the group modulo torsion
j	-79028701534867456/16987307596875	j-invariant
L	3.839251318881	L(r)(E,1)/r!
Ω	0.12134899633303	Real period
R	6.3276194033686	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	1155n1 73920gp1 55440dg1 92400gz1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480cb1

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
-	+	-	+	+	-6	-7	5	1	-5	8	-2	12	11	-8	-11	5	7	2	-12	4	10	1	15	3

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Quadratic twists for elliptic curve 18480cb1

-4	8	-3	5	-7
1155n1	73920gp1	55440dg1	92400gz1	129360gd1

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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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