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	18480bf	Isogeny class
Conductor	18480	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-4260366878423040 = -1 · 211 · 38 · 5 · 78 · 11	Discriminant
Eigenvalues	2+ 3- 5- 7- 11+  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-62480,6761268]	[a1,a2,a3,a4,a6]
j	-13171152353214242/2080257264855	j-invariant
L	3.3773440534925	L(r)(E,1)/r!
Ω	0.42216800668657	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	9240u6 73920fa5 55440y5 92400f5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480bf6

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

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Quadratic twists for elliptic curve 18480bf6

-4	8	-3	5	-7
9240u6	73920fa5	55440y5	92400f5	129360u5

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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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