Cremona's table of elliptic curves

18960 = 2⁴ · 3 · 5 · 79

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 79-	Signs for the Atkin-Lehner involutions
Class	18960w	Isogeny class
Conductor	18960	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-9.4738014196731E+23	Discriminant
Eigenvalues	2- 3- 5-  0  4 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3697600,-46910710732]	[a1,a2,a3,a4,a6]
Generators	[2831544571596:-266216093632754:291434247]	Generators of the group modulo torsion
j	-1364971759049420798401/231293979972486793620	j-invariant
L	6.8199530648004	L(r)(E,1)/r!
Ω	0.039271442285497	Real period
R	21.707736805349	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2370i6 75840bp5 56880bd5 94800bg5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18960w6

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
-	-	-	0	4	-2	-6	-4	8	-2	0	-2	-6	-4	8	-2	-12	-2	-4	-8	-6	-	-4	-6	-14

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Quadratic twists for elliptic curve 18960w6

-4	8	-3	5
2370i6	75840bp5	56880bd5	94800bg5

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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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