Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800bn |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-1714871048000000000 = -1 · 212 · 59 · 118 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,44367,62916863] |
[a1,a2,a3,a4,a6] |
Generators |
[403:12100:1] |
Generators of the group modulo torsion |
j |
704/125 |
j-invariant |
L |
6.3693388320061 |
L(r)(E,1)/r! |
Ω |
0.20482520542608 |
Real period |
R |
0.64784291879834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800k1 19360j1 96800f1 |
Quadratic twists by: -4 5 -11 |