Atkin-Lehner |
3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
29205h |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-145506885046875 = -1 · 315 · 56 · 11 · 59 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 11- 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6708,617688] |
[a1,a2,a3,a4,a6] |
j |
-45790495768576/199597921875 |
j-invariant |
L |
2.0189875280478 |
L(r)(E,1)/r! |
Ω |
0.5047468820117 |
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 |
9735i1 |
Quadratic twists by: -3 |