Atkin-Lehner |
2+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
85312i |
Isogeny class |
Conductor |
85312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
19869198498922496 = 223 · 313 · 433 |
Discriminant |
Eigenvalues |
2+ 2 3 -4 3 7 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157889,-23123263] |
[a1,a2,a3,a4,a6] |
j |
1660512553217713/75794977184 |
j-invariant |
L |
5.7643181670262 |
L(r)(E,1)/r! |
Ω |
0.24017992993247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85312r2 2666e2 |
Quadratic twists by: -4 8 |