Atkin-Lehner |
2- 3- 11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682bk |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-62495143356747816 = -1 · 23 · 37 · 112 · 135 · 433 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11+ 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-376457,-89619663] |
[a1,a2,a3,a4,a6] |
j |
-8093590613082337609/85727219968104 |
j-invariant |
L |
3.4671218127143 |
L(r)(E,1)/r! |
Ω |
0.096308946988621 |
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 |
36894g1 |
Quadratic twists by: -3 |