Atkin-Lehner |
2+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
122728b |
Isogeny class |
Conductor |
122728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10948608 |
Modular degree for the optimal curve |
Δ |
-1.0345996103574E+21 |
Discriminant |
Eigenvalues |
2+ 3 3 2 3 7 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116909,1547472062] |
[a1,a2,a3,a4,a6] |
j |
1165736988/6825042149 |
j-invariant |
L |
12.257765790599 |
L(r)(E,1)/r! |
Ω |
0.12257763851336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5336a1 |
Quadratic twists by: -23 |