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	18480bo	Isogeny class
Conductor	18480	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	5637269484000000 = 28 · 32 · 56 · 76 · 113	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11-  2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-49596,-2224980]	[a1,a2,a3,a4,a6]
Generators	[453:8250:1]	Generators of the group modulo torsion
j	52702650535889104/22020583921875	j-invariant
L	3.5451261043503	L(r)(E,1)/r!
Ω	0.33200868818118	Real period
R	1.7796352076263	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	4620j4 73920hh4 55440dy4 92400hh4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480bo4

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

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Quadratic twists for elliptic curve 18480bo4

-4	8	-3	5	-7
4620j4	73920hh4	55440dy4	92400hh4	129360hz4

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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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