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	18480cf	Isogeny class
Conductor	18480	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	58320627131289600 = 212 · 38 · 52 · 72 · 116	Discriminant
Eigenvalues	2- 3+ 5- 7+ 11-  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-575400,-167403600]	[a1,a2,a3,a4,a6]
j	5143681768032498601/14238434358225	j-invariant
L	2.0804655627436	L(r)(E,1)/r!
Ω	0.17337213022863	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	1155l2 73920gk2 55440db2 92400hp2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480cf2

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	4	-2	-4	-2	6	-4	-8	-2	8	10	8	0	-14	16	4	-6	18

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Quadratic twists for elliptic curve 18480cf2

-4	8	-3	5	-7
1155l2	73920gk2	55440db2	92400hp2	129360ha2

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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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