Atkin-Lehner |
3+ 5- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945d |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
187392 |
Modular degree for the optimal curve |
Δ |
4383442459305 = 33 · 5 · 7 · 136 · 312 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4299,-39240] |
[a1,a2,a3,a4,a6] |
j |
325476102719403/162349720715 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126945b1 |
Quadratic twists by: -3 |