Atkin-Lehner |
2- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43706r |
Isogeny class |
Conductor |
43706 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
918400 |
Modular degree for the optimal curve |
Δ |
221310187650317636 = 22 · 132 · 419 |
Discriminant |
Eigenvalues |
2- -2 2 4 -6 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-196712,24790780] |
[a1,a2,a3,a4,a6] |
j |
2571353/676 |
j-invariant |
L |
2.3552501885313 |
L(r)(E,1)/r! |
Ω |
0.29440627356614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43706u1 |
Quadratic twists by: 41 |