Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11322f |
Isogeny class |
Conductor |
11322 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-5002400171556864 = -1 · 222 · 38 · 173 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 -1 4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,36567,-2091443] |
[a1,a2,a3,a4,a6] |
j |
7417499034477167/6862002978816 |
j-invariant |
L |
1.8915614087704 |
L(r)(E,1)/r! |
Ω |
0.23644517609629 |
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 |
90576bi1 3774p1 |
Quadratic twists by: -4 -3 |