Atkin-Lehner |
3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67155m |
Isogeny class |
Conductor |
67155 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-1678875 = -1 · 3 · 53 · 112 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11- 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69,-233] |
[a1,a2,a3,a4,a6] |
j |
-294039889/13875 |
j-invariant |
L |
0.8274075284024 |
L(r)(E,1)/r! |
Ω |
0.82740752416576 |
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 |
67155p1 |
Quadratic twists by: -11 |