Atkin-Lehner |
2+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32110n |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-5533295216589237500 = -1 · 22 · 55 · 1312 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38479,113221785] |
[a1,a2,a3,a4,a6] |
j |
-1305392995089/1146367137500 |
j-invariant |
L |
1.9448701598974 |
L(r)(E,1)/r! |
Ω |
0.1944870159899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2470e1 |
Quadratic twists by: 13 |