Atkin-Lehner |
2- 3- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
127260m |
Isogeny class |
Conductor |
127260 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
62466843600 = 24 · 37 · 52 · 7 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1272,12661] |
[a1,a2,a3,a4,a6] |
j |
19513606144/5355525 |
j-invariant |
L |
4.1279835698104 |
L(r)(E,1)/r! |
Ω |
1.0319962350244 |
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 |
42420c1 |
Quadratic twists by: -3 |