Atkin-Lehner |
2+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
127088c |
Isogeny class |
Conductor |
127088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
354432 |
Modular degree for the optimal curve |
Δ |
-78518976280576 = -1 · 211 · 138 · 47 |
Discriminant |
Eigenvalues |
2+ 2 1 -3 -3 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9520,559584] |
[a1,a2,a3,a4,a6] |
j |
-57122/47 |
j-invariant |
L |
1.1190421174674 |
L(r)(E,1)/r! |
Ω |
0.55952115045769 |
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 |
63544c1 127088b1 |
Quadratic twists by: -4 13 |