Atkin-Lehner |
11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
75779c |
Isogeny class |
Conductor |
75779 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
752976 |
Modular degree for the optimal curve |
Δ |
-24775214553529451 = -1 · 11 · 838 |
Discriminant |
Eigenvalues |
-1 0 -3 -4 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-607524,182569802] |
[a1,a2,a3,a4,a6] |
j |
-11010033/11 |
j-invariant |
L |
0.37602948940523 |
L(r)(E,1)/r! |
Ω |
0.37602940829222 |
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 |
75779b1 |
Quadratic twists by: -83 |