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	18480bu	Isogeny class
Conductor	18480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	30720	Modular degree for the optimal curve
Δ	-12262440960000 = -1 · 220 · 35 · 54 · 7 · 11	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11+ -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,4104,-136080]	[a1,a2,a3,a4,a6]
Generators	[653:16750:1]	Generators of the group modulo torsion
j	1865864036231/2993760000	j-invariant
L	3.7001092142337	L(r)(E,1)/r!
Ω	0.3758174224079	Real period
R	4.9227483794215	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	2310f1 73920ii1 55440eu1 92400gc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480bu1

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

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Quadratic twists for elliptic curve 18480bu1

-4	8	-3	5	-7
2310f1	73920ii1	55440eu1	92400gc1	129360hh1

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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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