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	18480h	Isogeny class
Conductor	18480	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-42503408640 = -1 · 210 · 34 · 5 · 7 · 114	Discriminant
Eigenvalues	2+ 3+ 5+ 7- 11-  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,384,9360]	[a1,a2,a3,a4,a6]
Generators	[-4:88:1]	Generators of the group modulo torsion
j	6099383804/41507235	j-invariant
L	4.4258865617342	L(r)(E,1)/r!
Ω	0.83013336120307	Real period
R	0.66644209963445	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	9240k4 73920ib3 55440bm3 92400cc3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480h4

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

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Quadratic twists for elliptic curve 18480h4

-4	8	-3	5	-7
9240k4	73920ib3	55440bm3	92400cc3	129360df3

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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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