Atkin-Lehner |
2- 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
125398o |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
711360 |
Modular degree for the optimal curve |
Δ |
-5813034160607128 = -1 · 23 · 75 · 138 · 53 |
Discriminant |
Eigenvalues |
2- -2 0 7+ -2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31353,-4247855] |
[a1,a2,a3,a4,a6] |
Generators |
[23342644:17813459:103823] |
Generators of the group modulo torsion |
j |
-4178448625/7126168 |
j-invariant |
L |
6.6557525485944 |
L(r)(E,1)/r! |
Ω |
0.16954326436874 |
Real period |
R |
13.085652206464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999611775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125398h1 |
Quadratic twists by: 13 |