Atkin-Lehner |
2- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
106742i |
Isogeny class |
Conductor |
106742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1527552 |
Modular degree for the optimal curve |
Δ |
-306179060909395354 = -1 · 2 · 194 · 537 |
Discriminant |
Eigenvalues |
2- 2 3 -2 1 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-54834,27054329] |
[a1,a2,a3,a4,a6] |
j |
-822656953/13814026 |
j-invariant |
L |
9.310614726196 |
L(r)(E,1)/r! |
Ω |
0.25862820471584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2014b1 |
Quadratic twists by: 53 |