Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800t |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-2007952544000000 = -1 · 211 · 56 · 137 |
Discriminant |
Eigenvalues |
2- -1 5+ 5 2 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69008,-7279988] |
[a1,a2,a3,a4,a6] |
j |
-235298/13 |
j-invariant |
L |
2.6425601011125 |
L(r)(E,1)/r! |
Ω |
0.14680889450626 |
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 |
67600e1 1352a1 2600c1 |
Quadratic twists by: -4 5 13 |