Atkin-Lehner |
2+ 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44198v |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
151929814350692224 = 27 · 711 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 11- 2 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-738603,243540630] |
[a1,a2,a3,a4,a6] |
j |
378763245046164889/1291382114176 |
j-invariant |
L |
2.6103451461928 |
L(r)(E,1)/r! |
Ω |
0.32629314328036 |
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 |
6314f1 |
Quadratic twists by: -7 |