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	18480df	Isogeny class
Conductor	18480	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	60242434560000 = 212 · 34 · 54 · 74 · 112	Discriminant
Eigenvalues	2- 3- 5- 7- 11+ -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-14000,512148]	[a1,a2,a3,a4,a6]
Generators	[-84:1050:1]	Generators of the group modulo torsion
j	74093292126001/14707625625	j-invariant
L	6.5606418852396	L(r)(E,1)/r!
Ω	0.59162935729552	Real period
R	1.3861385097652	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	1155e3 73920ew4 55440dr4 92400dk4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480df3

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	4	-8	6	-8	6	-6	4	8	-10	12	-10	12	8	-6	-8	4	10	-14

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Quadratic twists for elliptic curve 18480df3

-4	8	-3	5	-7
1155e3	73920ew4	55440dr4	92400dk4	129360du4

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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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