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	18480ch	Isogeny class
Conductor	18480	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	362880	Modular degree for the optimal curve
Δ	-443795356620000000 = -1 · 28 · 39 · 57 · 7 · 115	Discriminant
Eigenvalues	2- 3+ 5- 7- 11+ -6 -3 -3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1964205,-1059396975]	[a1,a2,a3,a4,a6]
j	-3273741656681120014336/1733575611796875	j-invariant
L	0.89266206518426	L(r)(E,1)/r!
Ω	0.06376157608459	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4620m1 73920hc1 55440ds1 92400gh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480ch1

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	-3	-3	1	-7	-4	-6	-4	9	0	3	-5	5	2	4	-16	-2	3	-9	-7

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Quadratic twists for elliptic curve 18480ch1

-4	8	-3	5	-7
4620m1	73920hc1	55440ds1	92400gh1	129360gc1

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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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