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	64	Product of Tamagawa factors cp
Δ	-25715432230502400 = -1 · 214 · 32 · 52 · 178	Discriminant
Eigenvalues	2- 3- 5-  0 -4 -2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,48960,-6475212]	[a1,a2,a3,a4,a6]
Generators	[891:27300:1]	Generators of the group modulo torsion
j	3168685387909439/6278181696900	j-invariant
L	4.3836261716152	L(r)(E,1)/r!
Ω	0.19654171091459	Real period
R	5.5759489311663	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	510e6 16320bt6 12240bm6 20400bt6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4080be6

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 4080be6

-4	8	-3	5	17
510e6	16320bt6	12240bm6	20400bt6	69360cb5

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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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