Atkin-Lehner |
2- 3+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744u |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
534528 |
Modular degree for the optimal curve |
Δ |
204045852045312 = 212 · 39 · 17 · 533 |
Discriminant |
Eigenvalues |
2- 3+ -2 5 6 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37611,-2722086] |
[a1,a2,a3,a4,a6] |
j |
72982227339/2530909 |
j-invariant |
L |
4.1226466813804 |
L(r)(E,1)/r! |
Ω |
0.34355398549718 |
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 |
8109b1 129744m1 |
Quadratic twists by: -4 -3 |