Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350co |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-3161816875000 = -1 · 23 · 57 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24730,-1493103] |
[a1,a2,a3,a4,a6] |
j |
-909853209/1720 |
j-invariant |
L |
2.2840037117569 |
L(r)(E,1)/r! |
Ω |
0.19033370472744 |
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 |
21070j1 2150l1 |
Quadratic twists by: 5 -7 |