Atkin-Lehner |
3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126405p |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1605683289264699375 = 37 · 54 · 537 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21451455,38246667426] |
[a1,a2,a3,a4,a6] |
j |
67563360340489/99375 |
j-invariant |
L |
4.08718316466 |
L(r)(E,1)/r! |
Ω |
0.22706573683738 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42135k4 2385i3 |
Quadratic twists by: -3 53 |