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	18480dd	Isogeny class
Conductor	18480	Conductor
∏ cp	1400	Product of Tamagawa factors cp
deg	1747200	Modular degree for the optimal curve
Δ	-4.5506359809668E+22	Discriminant
Eigenvalues	2- 3- 5- 7+ 11-  4  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3697625,10620843750]	[a1,a2,a3,a4,a6]
Generators	[-50:103950:1]	Generators of the group modulo torsion
j	-349439858058052607328256/2844147488104248046875	j-invariant
L	6.7234264344668	L(r)(E,1)/r!
Ω	0.097346755575796	Real period
R	0.19733364198055	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4620e1 73920ef1 55440cw1 92400er1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480dd1

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
-	-	-	+	-	4	2	-2	-4	-4	-8	-10	0	8	-12	10	-12	-2	12	0	-16	-10	2	-18	2

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Quadratic twists for elliptic curve 18480dd1

-4	8	-3	5	-7
4620e1	73920ef1	55440cw1	92400er1	129360ej1

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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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