Atkin-Lehner |
2- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101738w |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
1467648 |
Modular degree for the optimal curve |
Δ |
-1124385057871781888 = -1 · 213 · 7 · 139 · 432 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 1 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-66674,51417855] |
[a1,a2,a3,a4,a6] |
Generators |
[369:8603:1] [-21:7277:1] |
Generators of the group modulo torsion |
j |
-6790996982953/232945836032 |
j-invariant |
L |
12.78645958631 |
L(r)(E,1)/r! |
Ω |
0.22921756200294 |
Real period |
R |
0.53637568484451 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826c1 |
Quadratic twists by: 13 |