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	18480s	Isogeny class
Conductor	18480	Conductor
∏ cp	320	Product of Tamagawa factors cp
Δ	169449136164000000 = 28 · 310 · 56 · 72 · 114	Discriminant
Eigenvalues	2+ 3- 5+ 7+ 11-  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-279636,-53452836]	[a1,a2,a3,a4,a6]
Generators	[-318:1848:1]	Generators of the group modulo torsion
j	9446361110552374864/661910688140625	j-invariant
L	5.7343582034553	L(r)(E,1)/r!
Ω	0.20852776130256	Real period
R	1.374962778969	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	9240r2 73920fg2 55440ba2 92400v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480s2

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

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Quadratic twists for elliptic curve 18480s2

-4	8	-3	5	-7
9240r2	73920fg2	55440ba2	92400v2	129360bo2

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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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