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	18480bc	Isogeny class
Conductor	18480	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	294912	Modular degree for the optimal curve
Δ	-580319824218750000 = -1 · 24 · 32 · 516 · 74 · 11	Discriminant
Eigenvalues	2+ 3- 5- 7+ 11-  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-50975,36901248]	[a1,a2,a3,a4,a6]
j	-915553975060166656/36269989013671875	j-invariant
L	3.8668549703311	L(r)(E,1)/r!
Ω	0.24167843564569	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9240w1 73920eh1 55440i1 92400be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480bc1

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

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Quadratic twists for elliptic curve 18480bc1

-4	8	-3	5	-7
9240w1	73920eh1	55440i1	92400be1	129360bf1

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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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