Atkin-Lehner |
2+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800bo |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-20353792000000 = -1 · 214 · 56 · 433 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 3 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6667,58963] |
[a1,a2,a3,a4,a6] |
j |
128000000/79507 |
j-invariant |
L |
2.5359109749228 |
L(r)(E,1)/r! |
Ω |
0.4226518306201 |
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 |
68800da2 4300b2 2752b2 |
Quadratic twists by: -4 8 5 |