Cremona's table of elliptic curves

4080 = 2⁴ · 3 · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 17-	Signs for the Atkin-Lehner involutions
Class	4080be	Isogeny class
Conductor	4080	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	12135225600000000 = 214 · 38 · 58 · 172	Discriminant
Eigenvalues	2- 3- 5-  0 -4 -2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-115520,14114100]	[a1,a2,a3,a4,a6]
Generators	[-305:4590:1]	Generators of the group modulo torsion
j	41623544884956481/2962701562500	j-invariant
L	4.3836261716152	L(r)(E,1)/r!
Ω	0.39308342182918	Real period
R	1.3939872327916	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	510e5 16320bt5 12240bm5 20400bt5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4080be5

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	-	-4	0	-2	-8	6	-6	4	0	-10	4	-2	-4	0	-6	-8	12	-6	-14

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Quadratic twists for elliptic curve 4080be5

-4	8	-3	5	17
510e5	16320bt5	12240bm5	20400bt5	69360cb6

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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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