Atkin-Lehner |
2+ 3- 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426i |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-99153657792 = -1 · 26 · 36 · 7 · 192 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-222,-15148] |
[a1,a2,a3,a4,a6] |
j |
-1664006625/136013248 |
j-invariant |
L |
1.880221396294 |
L(r)(E,1)/r! |
Ω |
0.47005534624757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7714e1 |
Quadratic twists by: -3 |