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	18480bd	Isogeny class
Conductor	18480	Conductor
∏ cp	896	Product of Tamagawa factors cp
Δ	3.1262087270863E+23	Discriminant
Eigenvalues	2+ 3- 5- 7- 11+  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-35597100,-77205504852]	[a1,a2,a3,a4,a6]
j	19486220601593009351102416/1221175284018082695225	j-invariant
L	3.474848418467	L(r)(E,1)/r!
Ω	0.062050864615481	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	9240g2 73920ex2 55440u2 92400c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480bd2

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

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Quadratic twists for elliptic curve 18480bd2

-4	8	-3	5	-7
9240g2	73920ex2	55440u2	92400c2	129360k2

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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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