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	18480ci	Isogeny class
Conductor	18480	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	349706649600 = 218 · 32 · 52 · 72 · 112	Discriminant
Eigenvalues	2- 3+ 5- 7- 11-  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-49280,4227072]	[a1,a2,a3,a4,a6]
Generators	[74:990:1]	Generators of the group modulo torsion
j	3231355012744321/85377600	j-invariant
L	4.8516375672265	L(r)(E,1)/r!
Ω	0.88986494839723	Real period
R	1.3630263715761	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	2310v2 73920gq2 55440dh2 92400gm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480ci2

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

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Quadratic twists for elliptic curve 18480ci2

-4	8	-3	5	-7
2310v2	73920gq2	55440dh2	92400gm2	129360gm2

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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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