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	18480w	Isogeny class
Conductor	18480	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	8192	Modular degree for the optimal curve
Δ	-5903251200 = -1 · 28 · 32 · 52 · 7 · 114	Discriminant
Eigenvalues	2+ 3- 5+ 7- 11+ -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,364,-2436]	[a1,a2,a3,a4,a6]
Generators	[10:48:1]	Generators of the group modulo torsion
j	20777545136/23059575	j-invariant
L	5.7416829727262	L(r)(E,1)/r!
Ω	0.72688665297234	Real period
R	1.9747518231514	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	9240q1 73920fy1 55440bs1 92400b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480w1

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

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Quadratic twists for elliptic curve 18480w1

-4	8	-3	5	-7
9240q1	73920fy1	55440bs1	92400b1	129360bj1

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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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