Atkin-Lehner |
3+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
9711b |
Isogeny class |
Conductor |
9711 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-225217901690300961 = -1 · 39 · 1310 · 83 |
Discriminant |
Eigenvalues |
1 3+ -3 0 5 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-404556,101740301] |
[a1,a2,a3,a4,a6] |
j |
-372022291354190931/11442254823467 |
j-invariant |
L |
1.2524959121459 |
L(r)(E,1)/r! |
Ω |
0.31312397803647 |
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 |
9711a1 126243b1 |
Quadratic twists by: -3 13 |