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	18480dg	Isogeny class
Conductor	18480	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	-374912285301227520 = -1 · 214 · 38 · 5 · 78 · 112	Discriminant
Eigenvalues	2- 3- 5- 7- 11- -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,141680,21178388]	[a1,a2,a3,a4,a6]
j	76786760064334319/91531319653620	j-invariant
L	3.2228138277379	L(r)(E,1)/r!
Ω	0.20142586423362	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	2310n6 73920eq5 55440dl5 92400du5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480dg6

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

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Quadratic twists for elliptic curve 18480dg6

-4	8	-3	5	-7
2310n6	73920eq5	55440dl5	92400du5	129360ei5

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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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