Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400bb |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
136125000000 = 26 · 32 · 59 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1958,27588] |
[a1,a2,a3,a4,a6] |
j |
6644672/1089 |
j-invariant |
L |
3.9632704896158 |
L(r)(E,1)/r! |
Ω |
0.99081762240394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26400bo1 52800bo2 79200ei1 26400bq1 |
Quadratic twists by: -4 8 -3 5 |