Atkin-Lehner |
37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68413a |
Isogeny class |
Conductor |
68413 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
320196002520997 = 373 · 436 |
Discriminant |
Eigenvalues |
0 -1 0 1 3 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-43143,3354411] |
[a1,a2,a3,a4,a6] |
j |
1404928000/50653 |
j-invariant |
L |
1.078232403531 |
L(r)(E,1)/r! |
Ω |
0.53911620023062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37b1 |
Quadratic twists by: -43 |