Atkin-Lehner |
5+ 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
104975g |
Isogeny class |
Conductor |
104975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
755712 |
Modular degree for the optimal curve |
Δ |
597833372736925 = 52 · 133 · 174 · 194 |
Discriminant |
Eigenvalues |
2 -1 5+ 2 2 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-236178,-44083827] |
[a1,a2,a3,a4,a6] |
j |
58277895997854576640/23913334909477 |
j-invariant |
L |
2.5988510224869 |
L(r)(E,1)/r! |
Ω |
0.21657096735146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104975m1 |
Quadratic twists by: 5 |