Atkin-Lehner |
2- 3- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
37332b |
Isogeny class |
Conductor |
37332 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2398405987584 = -1 · 28 · 312 · 172 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 5 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1977,-66386] |
[a1,a2,a3,a4,a6] |
j |
4579058864/12851541 |
j-invariant |
L |
1.6775121556959 |
L(r)(E,1)/r! |
Ω |
0.41937803892518 |
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 |
12444b1 |
Quadratic twists by: -3 |