Atkin-Lehner |
2- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33934i |
Isogeny class |
Conductor |
33934 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1015056 |
Modular degree for the optimal curve |
Δ |
13078158752595968 = 214 · 198 · 47 |
Discriminant |
Eigenvalues |
2- -2 4 4 5 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-407396,99900688] |
[a1,a2,a3,a4,a6] |
j |
440296519969/770048 |
j-invariant |
L |
5.5818164111569 |
L(r)(E,1)/r! |
Ω |
0.3987011722252 |
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 |
33934e1 |
Quadratic twists by: -19 |