Atkin-Lehner |
3- 5+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128325o |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
56726146453125 = 3 · 56 · 295 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 0 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16958,763244] |
[a1,a2,a3,a4,a6] |
j |
34518601216000/3630473373 |
j-invariant |
L |
1.2168406222912 |
L(r)(E,1)/r! |
Ω |
0.60841906270828 |
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 |
5133a1 |
Quadratic twists by: 5 |