Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128440t |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-36683748400 = -1 · 24 · 52 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,789,3236] |
[a1,a2,a3,a4,a6] |
Generators |
[2415:23867:27] |
Generators of the group modulo torsion |
j |
702464/475 |
j-invariant |
L |
9.4728685920554 |
L(r)(E,1)/r! |
Ω |
0.72800078433523 |
Real period |
R |
6.5060840919522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999453926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
760a1 |
Quadratic twists by: 13 |