Atkin-Lehner |
2- 3- 11- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105534bl |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-6870077871228 = -1 · 22 · 310 · 113 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1030,125205] |
[a1,a2,a3,a4,a6] |
j |
165921662375/9423975132 |
j-invariant |
L |
6.8292618480336 |
L(r)(E,1)/r! |
Ω |
0.56910510285598 |
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 |
35178a1 |
Quadratic twists by: -3 |