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	18480o	Isogeny class
Conductor	18480	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	325444692101760000 = 210 · 36 · 54 · 78 · 112	Discriminant
Eigenvalues	2+ 3+ 5- 7- 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1901800,1009735552]	[a1,a2,a3,a4,a6]
Generators	[-906:44590:1]	Generators of the group modulo torsion
j	742879737792994384804/317817082130625	j-invariant
L	4.773750436439	L(r)(E,1)/r!
Ω	0.30005403655362	Real period
R	1.98870447273	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	9240bh3 73920gx4 55440v4 92400bs4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480o3

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	0	-2	8	-2	-6	-4	-8	-10	4	-2	12	-8	-14	-8	-12	-6	-14

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Quadratic twists for elliptic curve 18480o3

-4	8	-3	5	-7
9240bh3	73920gx4	55440v4	92400bs4	129360bw4

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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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