Atkin-Lehner |
11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
913b |
Isogeny class |
Conductor |
913 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
300 |
Modular degree for the optimal curve |
Δ |
-75779 = -1 · 11 · 832 |
Discriminant |
Eigenvalues |
2 3 3 -4 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1,13] |
[a1,a2,a3,a4,a6] |
j |
-110592/75779 |
j-invariant |
L |
5.5696274156893 |
L(r)(E,1)/r! |
Ω |
2.7848137078447 |
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 |
14608e1 58432h1 8217k1 22825c1 |
Quadratic twists by: -4 8 -3 5 |