Atkin-Lehner |
2+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
72512f |
Isogeny class |
Conductor |
72512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-7468736 = -1 · 26 · 11 · 1032 |
Discriminant |
Eigenvalues |
2+ -1 1 2 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25,-131] |
[a1,a2,a3,a4,a6] |
j |
25934336/116699 |
j-invariant |
L |
2.3714007130878 |
L(r)(E,1)/r! |
Ω |
1.185700358395 |
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 |
72512a1 36256b1 |
Quadratic twists by: -4 8 |