Atkin-Lehner |
2+ 3- 11+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35178i |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-89589146387659776 = -1 · 210 · 39 · 112 · 13 · 414 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-191907,-35433890] |
[a1,a2,a3,a4,a6] |
j |
-781615040843102982697/89589146387659776 |
j-invariant |
L |
2.0397579500701 |
L(r)(E,1)/r! |
Ω |
0.11331988611576 |
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 |
105534bo1 |
Quadratic twists by: -3 |