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	18480br	Isogeny class
Conductor	18480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	227082240 = 216 · 32 · 5 · 7 · 11	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11- -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1176,-15120]	[a1,a2,a3,a4,a6]
Generators	[-19:2:1]	Generators of the group modulo torsion
j	43949604889/55440	j-invariant
L	3.3768801179648	L(r)(E,1)/r!
Ω	0.81526697531104	Real period
R	2.0710271728329	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	2310h1 73920hl1 55440ef1 92400ho1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480br1

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

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Quadratic twists for elliptic curve 18480br1

-4	8	-3	5	-7
2310h1	73920hl1	55440ef1	92400ho1	129360ig1

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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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