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	128	Product of Tamagawa factors cp
Δ	1991335698874368000 = 217 · 34 · 53 · 7 · 118	Discriminant
Eigenvalues	2- 3- 5+ 7- 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2433256,-1460164300]	[a1,a2,a3,a4,a6]
Generators	[-914:1056:1]	Generators of the group modulo torsion
j	388980071198593573609/486165942108000	j-invariant
L	5.9631545679428	L(r)(E,1)/r!
Ω	0.1208885540444	Real period
R	1.5414906871975	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	2310a3 73920fq4 55440eo4 92400dr4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480cu3

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 18480cu3

-4	8	-3	5	-7
2310a3	73920fq4	55440eo4	92400dr4	129360fi4

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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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