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	18480cl	Isogeny class
Conductor	18480	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	688555219968000 = 213 · 38 · 53 · 7 · 114	Discriminant
Eigenvalues	2- 3+ 5- 7- 11- -6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-152600,22960752]	[a1,a2,a3,a4,a6]
Generators	[244:440:1]	Generators of the group modulo torsion
j	95946737295893401/168104301750	j-invariant
L	4.378897711496	L(r)(E,1)/r!
Ω	0.50957051477689	Real period
R	0.35805460877622	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	2310k3 73920gu4 55440do4 92400gs4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480cl4

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

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Quadratic twists for elliptic curve 18480cl4

-4	8	-3	5	-7
2310k3	73920gu4	55440do4	92400gs4	129360gx4

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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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