Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504bu |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1710720 |
Modular degree for the optimal curve |
Δ |
-1.1343658032464E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 13- -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,112248,512188272] |
[a1,a2,a3,a4,a6] |
j |
1472207/1067742 |
j-invariant |
L |
0.87619296791307 |
L(r)(E,1)/r! |
Ω |
0.14603216505859 |
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 |
9438n1 75504bi1 |
Quadratic twists by: -4 -11 |