Atkin-Lehner |
3+ 5- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
105825b |
Isogeny class |
Conductor |
105825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193920 |
Modular degree for the optimal curve |
Δ |
7167990234375 = 32 · 59 · 173 · 83 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 5 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5825,110250] |
[a1,a2,a3,a4,a6] |
j |
11194326053/3670011 |
j-invariant |
L |
2.7496213906755 |
L(r)(E,1)/r! |
Ω |
0.68740536665753 |
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 |
105825g1 |
Quadratic twists by: 5 |