Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672ed |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-132819568820224 = -1 · 219 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 2 -1 -3 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-554431] |
[a1,a2,a3,a4,a6] |
j |
-1/286 |
j-invariant |
L |
1.0691647470042 |
L(r)(E,1)/r! |
Ω |
0.26729126245207 |
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 |
100672bw1 25168bd1 9152bb1 |
Quadratic twists by: -4 8 -11 |