Atkin-Lehner |
2- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68962n |
Isogeny class |
Conductor |
68962 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
375840 |
Modular degree for the optimal curve |
Δ |
6727313761499528 = 23 · 298 · 412 |
Discriminant |
Eigenvalues |
2- 0 2 3 0 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47254,254941] |
[a1,a2,a3,a4,a6] |
j |
23326353/13448 |
j-invariant |
L |
6.4559843978377 |
L(r)(E,1)/r! |
Ω |
0.35866580031557 |
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 |
68962a1 |
Quadratic twists by: 29 |