Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23104be |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-438976 = -1 · 26 · 193 |
Discriminant |
Eigenvalues |
2- 2 -3 3 1 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13,-31] |
[a1,a2,a3,a4,a6] |
j |
512 |
j-invariant |
L |
3.1052770675085 |
L(r)(E,1)/r! |
Ω |
1.5526385337543 |
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 |
23104bh1 11552c1 23104bg1 |
Quadratic twists by: -4 8 -19 |