Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bj |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-294272000000 = -1 · 213 · 56 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 11+ 7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2275,49250] |
[a1,a2,a3,a4,a6] |
j |
-20346417/4598 |
j-invariant |
L |
7.4300424623419 |
L(r)(E,1)/r! |
Ω |
0.92875530168088 |
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 |
10450j1 3344g1 |
Quadratic twists by: -4 5 |