Atkin-Lehner |
3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
125775bd |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
206400 |
Modular degree for the optimal curve |
Δ |
-795919921875 = -1 · 36 · 59 · 13 · 43 |
Discriminant |
Eigenvalues |
1 3- 5- 0 6 13+ 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10242,-398709] |
[a1,a2,a3,a4,a6] |
Generators |
[5058861850:1273537449053:79507] |
Generators of the group modulo torsion |
j |
-83453453/559 |
j-invariant |
L |
8.8159599382447 |
L(r)(E,1)/r! |
Ω |
0.23719065295017 |
Real period |
R |
18.584122091688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998087314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13975e1 125775bi1 |
Quadratic twists by: -3 5 |