Atkin-Lehner |
2- 3+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008bc |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.3417419157722E+26 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-193126312,-869734198160] |
[a1,a2,a3,a4,a6] |
j |
194485894132338991516502953/32757370990533323048376 |
j-invariant |
L |
0.32770194600636 |
L(r)(E,1)/r! |
Ω |
0.040962751828571 |
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 |
10626i2 |
Quadratic twists by: -4 |