Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
8118g |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
717380060406907392 = 29 · 324 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1048212,411315408] |
[a1,a2,a3,a4,a6] |
j |
174720473725693794625/984060439515648 |
j-invariant |
L |
0.57405359619549 |
L(r)(E,1)/r! |
Ω |
0.28702679809774 |
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 |
64944be2 2706o2 89298bx2 |
Quadratic twists by: -4 -3 -11 |