Atkin-Lehner |
11- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52877c |
Isogeny class |
Conductor |
52877 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108768 |
Modular degree for the optimal curve |
Δ |
-40935901145689 = -1 · 118 · 192 · 232 |
Discriminant |
Eigenvalues |
1 0 3 -2 11- -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20048,-1130123] |
[a1,a2,a3,a4,a6] |
j |
-4157263737/190969 |
j-invariant |
L |
0.80028953728614 |
L(r)(E,1)/r! |
Ω |
0.20007238450993 |
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 |
52877b1 |
Quadratic twists by: -11 |