Atkin-Lehner |
3+ 5- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945d |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
67108369193775 = 33 · 52 · 72 · 133 · 314 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37254,2748753] |
[a1,a2,a3,a4,a6] |
j |
211780142442632763/2485495155325 |
j-invariant |
L |
4.9669706578909 |
L(r)(E,1)/r! |
Ω |
0.62087126514885 |
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 |
126945b2 |
Quadratic twists by: -3 |