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	18480bn	Isogeny class
Conductor	18480	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	-1.7778160118678E+25	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11-  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,20216504,199815821296]	[a1,a2,a3,a4,a6]
Generators	[-4172:206976:1]	Generators of the group modulo torsion
j	223090928422700449019831/4340371122724101696000	j-invariant
L	3.7021889826128	L(r)(E,1)/r!
Ω	0.051587645268587	Real period
R	1.4951048208578	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	2310g8 73920hg7 55440dx7 92400hf7	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480bn8

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	4	0	-6	4	2	-6	4	0	-6	-12	14	16	0	2	4	0	-6	-10

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Quadratic twists for elliptic curve 18480bn8

-4	8	-3	5	-7
2310g8	73920hg7	55440dx7	92400hf7	129360hy7

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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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