Atkin-Lehner |
2- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
128122f |
Isogeny class |
Conductor |
128122 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
25842432 |
Modular degree for the optimal curve |
Δ |
1880585023158656 = 27 · 29 · 477 |
Discriminant |
Eigenvalues |
2- 0 3 -4 0 -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-663470251,6577960272379] |
[a1,a2,a3,a4,a6] |
Generators |
[14851:-3078:1] |
Generators of the group modulo torsion |
j |
2996407859142189227553/174464 |
j-invariant |
L |
9.9996223913181 |
L(r)(E,1)/r! |
Ω |
0.17698216290099 |
Real period |
R |
4.0357668433641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999626792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2726e1 |
Quadratic twists by: -47 |