Atkin-Lehner |
2+ 3+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
33864b |
Isogeny class |
Conductor |
33864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.3277975574986E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26809560,55422409356] |
[a1,a2,a3,a4,a6] |
j |
-1040549716307070673890482/45545886511223409081 |
j-invariant |
L |
0.84836025300334 |
L(r)(E,1)/r! |
Ω |
0.10604503162557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67728f2 101592o2 |
Quadratic twists by: -4 -3 |