Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25432b |
Isogeny class |
Conductor |
25432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
50842602939392 = 210 · 112 · 177 |
Discriminant |
Eigenvalues |
2+ 0 -4 -2 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-197387,33752310] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:6358:1] |
Generators of the group modulo torsion |
j |
34410094596/2057 |
j-invariant |
L |
2.2953690104413 |
L(r)(E,1)/r! |
Ω |
0.5995851947479 |
Real period |
R |
1.9141308279021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50864q1 1496c1 |
Quadratic twists by: -4 17 |