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	18480w	Isogeny class
Conductor	18480	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	307359360000 = 210 · 34 · 54 · 72 · 112	Discriminant
Eigenvalues	2+ 3- 5+ 7- 11+ -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2056,-24700]	[a1,a2,a3,a4,a6]
Generators	[-34:84:1]	Generators of the group modulo torsion
j	939083699236/300155625	j-invariant
L	5.7416829727262	L(r)(E,1)/r!
Ω	0.72688665297234	Real period
R	0.9873759115757	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	9240q2 73920fy2 55440bs2 92400b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480w2

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	0	-2	4	6	6	-12	-4	6	4	-10	4	-8	-2	0	16	-6	-6

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Quadratic twists for elliptic curve 18480w2

-4	8	-3	5	-7
9240q2	73920fy2	55440bs2	92400b2	129360bj2

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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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