Atkin-Lehner |
3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
26499i |
Isogeny class |
Conductor |
26499 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
1267504063353 = 34 · 118 · 73 |
Discriminant |
Eigenvalues |
1 3- 2 4 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22630,-1311037] |
[a1,a2,a3,a4,a6] |
Generators |
[-253349726:188791883:2863288] |
Generators of the group modulo torsion |
j |
723425270833/715473 |
j-invariant |
L |
9.796660758797 |
L(r)(E,1)/r! |
Ω |
0.38927499027538 |
Real period |
R |
12.583213670966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79497j1 2409f1 |
Quadratic twists by: -3 -11 |