Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664dv |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-912082460986368 = -1 · 210 · 39 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -2 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17275,1166619] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:324:1] [-26:837:1] |
Generators of the group modulo torsion |
j |
556740459216896/890705528307 |
j-invariant |
L |
8.2808551826789 |
L(r)(E,1)/r! |
Ω |
0.33934721121449 |
Real period |
R |
0.67784189017265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664w1 10416w1 124992fj1 |
Quadratic twists by: -4 8 -3 |