Atkin-Lehner |
3+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55233d |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
134064 |
Modular degree for the optimal curve |
Δ |
-7795455435819 = -1 · 33 · 17 · 198 |
Discriminant |
Eigenvalues |
0 3+ -1 -2 -4 3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-82308,-9089890] |
[a1,a2,a3,a4,a6] |
j |
-134479872/17 |
j-invariant |
L |
0.84558447965527 |
L(r)(E,1)/r! |
Ω |
0.14093074671506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55233a1 55233e1 |
Quadratic twists by: -3 -19 |