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	18480bh	Isogeny class
Conductor	18480	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	646652160000 = 211 · 38 · 54 · 7 · 11	Discriminant
Eigenvalues	2+ 3- 5- 7- 11-  2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3960,-89100]	[a1,a2,a3,a4,a6]
Generators	[-30:60:1]	Generators of the group modulo torsion
j	3354200221682/315748125	j-invariant
L	6.9023607754164	L(r)(E,1)/r!
Ω	0.60545294471694	Real period
R	0.35626017862149	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	9240d4 73920er3 55440p3 92400i3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480bh3

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

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Quadratic twists for elliptic curve 18480bh3

-4	8	-3	5	-7
9240d4	73920er3	55440p3	92400i3	129360ba3

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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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