Atkin-Lehner |
2- 3+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
33864i |
Isogeny class |
Conductor |
33864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1909440 |
Modular degree for the optimal curve |
Δ |
-124325935269606144 = -1 · 28 · 315 · 173 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 5 5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7264169,-7533357603] |
[a1,a2,a3,a4,a6] |
j |
-165592866819930546568192/485648184646899 |
j-invariant |
L |
4.9658860325053 |
L(r)(E,1)/r! |
Ω |
0.045980426226833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67728h1 101592b1 |
Quadratic twists by: -4 -3 |