Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360en |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-7072758000 = -1 · 24 · 38 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136586,19474911] |
[a1,a2,a3,a4,a6] |
j |
-359442469227794176/9021375 |
j-invariant |
L |
1.9294540542823 |
L(r)(E,1)/r! |
Ω |
0.96472612745851 |
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 |
32340be1 129360he1 |
Quadratic twists by: -4 -7 |