Atkin-Lehner |
2+ 3+ 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950g |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1879200 |
Modular degree for the optimal curve |
Δ |
-572597820188026200 = -1 · 23 · 315 · 52 · 235 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 5 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-471655,129687085] |
[a1,a2,a3,a4,a6] |
j |
-464150123569289954785/22903912807521048 |
j-invariant |
L |
1.4386592774815 |
L(r)(E,1)/r! |
Ω |
0.28773189923678 |
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 |
106950cm1 |
Quadratic twists by: 5 |