Atkin-Lehner |
2- 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040ba |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1078612191033753600 = 216 · 314 · 52 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633896,-801769104] |
[a1,a2,a3,a4,a6] |
j |
117770700609816945769/263333054451600 |
j-invariant |
L |
0.53420968211013 |
L(r)(E,1)/r! |
Ω |
0.13355242470203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11130m2 |
Quadratic twists by: -4 |