Atkin-Lehner |
13+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
108953d |
Isogeny class |
Conductor |
108953 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-21987026521066009 = -1 · 133 · 177 · 293 |
Discriminant |
Eigenvalues |
-1 0 -1 2 -3 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49618,-8293790] |
[a1,a2,a3,a4,a6] |
j |
-559679941521/910904761 |
j-invariant |
L |
0.90845839134489 |
L(r)(E,1)/r! |
Ω |
0.15140977830973 |
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 |
6409c1 |
Quadratic twists by: 17 |