Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400u |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
16426800000000 = 210 · 35 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 5 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9208,-275588] |
[a1,a2,a3,a4,a6] |
j |
1277380/243 |
j-invariant |
L |
2.962771047142 |
L(r)(E,1)/r! |
Ω |
0.49379516482228 |
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 |
101400dd1 101400cn1 |
Quadratic twists by: 5 13 |