Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938j |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
123552 |
Modular degree for the optimal curve |
Δ |
-1362893765398 = -1 · 2 · 119 · 172 |
Discriminant |
Eigenvalues |
2- 2 0 -4 11+ 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2357,35839] |
[a1,a2,a3,a4,a6] |
j |
2125/2 |
j-invariant |
L |
4.4860975727634 |
L(r)(E,1)/r! |
Ω |
0.56076219651545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69938a1 69938k1 |
Quadratic twists by: -11 17 |