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	512	Product of Tamagawa factors cp
Δ	2.7470614851328E+21	Discriminant
Eigenvalues	2- 3- 5-  0  4 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-13683200,-19322495052]	[a1,a2,a3,a4,a6]
Generators	[585369748:59202724230:50653]	Generators of the group modulo torsion
j	69171440576913039628801/670669307893760400	j-invariant
L	6.8199530648004	L(r)(E,1)/r!
Ω	0.078542884570995	Real period
R	10.853868402675	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	2370i3 75840bp3 56880bd3 94800bg3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18960w4

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 18960w4

-4	8	-3	5
2370i3	75840bp3	56880bd3	94800bg3

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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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