Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bh |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-437985299297075200 = -1 · 217 · 52 · 117 · 193 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 11+ 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,165032,-18709008] |
[a1,a2,a3,a4,a6] |
j |
4854288821119295/4277200188448 |
j-invariant |
L |
0.65439923187073 |
L(r)(E,1)/r! |
Ω |
0.16359984178217 |
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 |
10450i1 83600cm1 |
Quadratic twists by: -4 5 |