Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69966bj |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1238016 |
Modular degree for the optimal curve |
Δ |
8534670767380368 = 24 · 37 · 139 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 4 6 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54788,-2132841] |
[a1,a2,a3,a4,a6] |
j |
2352637/1104 |
j-invariant |
L |
10.451392736988 |
L(r)(E,1)/r! |
Ω |
0.32660602402042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23322g1 69966t1 |
Quadratic twists by: -3 13 |