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	18480cz	Isogeny class
Conductor	18480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	3633315840 = 220 · 32 · 5 · 7 · 11	Discriminant
Eigenvalues	2- 3- 5- 7+ 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1240,16148]	[a1,a2,a3,a4,a6]
Generators	[23:18:1]	Generators of the group modulo torsion
j	51520374361/887040	j-invariant
L	6.4917218690816	L(r)(E,1)/r!
Ω	1.4043207176036	Real period
R	2.311338780275	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	2310d1 73920dy1 55440cr1 92400ej1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480cz1

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	-10	4	-10	6	-4	0	-2	0	-14	0	0	2	8	-4	18	2

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Quadratic twists for elliptic curve 18480cz1

-4	8	-3	5	-7
2310d1	73920dy1	55440cr1	92400ej1	129360ee1

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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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