Atkin-Lehner |
2- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43700b |
Isogeny class |
Conductor |
43700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-14513644000000 = -1 · 28 · 56 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 -1 -4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99800,12136500] |
[a1,a2,a3,a4,a6] |
j |
-27482443554816/3628411 |
j-invariant |
L |
1.3543430738411 |
L(r)(E,1)/r! |
Ω |
0.67717153701514 |
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 |
1748c1 |
Quadratic twists by: 5 |