Atkin-Lehner |
2- 3- 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782bj |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
250 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
120477297245184 = 210 · 35 · 11 · 175 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 11- -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21250,1067204] |
[a1,a2,a3,a4,a6] |
j |
1061211121203060001/120477297245184 |
j-invariant |
L |
5.7008513248963 |
L(r)(E,1)/r! |
Ω |
0.57008513248977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
104346l1 |
Quadratic twists by: -3 |