Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800x |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
-1958887000000 = -1 · 26 · 56 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -4 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8758,325512] |
[a1,a2,a3,a4,a6] |
j |
-74299881664/1958887 |
j-invariant |
L |
1.6567100502953 |
L(r)(E,1)/r! |
Ω |
0.82835563665232 |
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 |
128800bd1 5152b1 |
Quadratic twists by: -4 5 |