Atkin-Lehner |
3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33033a |
Isogeny class |
Conductor |
33033 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-639850630419 = -1 · 34 · 73 · 116 · 13 |
Discriminant |
Eigenvalues |
2 3+ -1 7+ 11- 13+ 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3186,-78145] |
[a1,a2,a3,a4,a6] |
j |
-2019487744/361179 |
j-invariant |
L |
1.2586329387439 |
L(r)(E,1)/r! |
Ω |
0.31465823468709 |
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 |
99099v1 273a1 |
Quadratic twists by: -3 -11 |