Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400ca |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
1270657469250000 = 24 · 34 · 56 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30983,1220712] |
[a1,a2,a3,a4,a6] |
j |
2725888/1053 |
j-invariant |
L |
1.7639592957976 |
L(r)(E,1)/r! |
Ω |
0.4409898179223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4056f1 7800a1 |
Quadratic twists by: 5 13 |