Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376bh |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-8787276140544 = -1 · 212 · 37 · 114 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11- 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-624,-142956] |
[a1,a2,a3,a4,a6] |
Generators |
[60:198:1] |
Generators of the group modulo torsion |
j |
-6570725617/2145331089 |
j-invariant |
L |
9.6342130300806 |
L(r)(E,1)/r! |
Ω |
0.3281145890214 |
Real period |
R |
0.52432754943144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2211b1 106128bn1 |
Quadratic twists by: -4 -3 |