Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fo |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-17661952000000000 = -1 · 224 · 59 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15967,-6352063] |
[a1,a2,a3,a4,a6] |
Generators |
[30621295107:-819938009600:43243551] |
Generators of the group modulo torsion |
j |
109902239/4312000 |
j-invariant |
L |
10.245133139294 |
L(r)(E,1)/r! |
Ω |
0.18677909251992 |
Real period |
R |
13.712901501805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999472969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200bc1 30800bz1 24640bc1 |
Quadratic twists by: -4 8 5 |