Atkin-Lehner |
2- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
106352m |
Isogeny class |
Conductor |
106352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-2474059885182976 = -1 · 218 · 177 · 23 |
Discriminant |
Eigenvalues |
2- -2 -2 0 0 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25336,-1813004] |
[a1,a2,a3,a4,a6] |
j |
18191447/25024 |
j-invariant |
L |
0.97460319870655 |
L(r)(E,1)/r! |
Ω |
0.24365071275799 |
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 |
13294d1 6256f1 |
Quadratic twists by: -4 17 |