Atkin-Lehner |
2- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
110864k |
Isogeny class |
Conductor |
110864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1886976 |
Modular degree for the optimal curve |
Δ |
-70139163833270272 = -1 · 221 · 138 · 41 |
Discriminant |
Eigenvalues |
2- 0 4 -3 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1316003,-581216350] |
[a1,a2,a3,a4,a6] |
Generators |
[10515319252578800:430336823033183275:4488858791936] |
Generators of the group modulo torsion |
j |
-75437551449/20992 |
j-invariant |
L |
7.732675971545 |
L(r)(E,1)/r! |
Ω |
0.070477110390349 |
Real period |
R |
27.429742538805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858b1 110864f1 |
Quadratic twists by: -4 13 |