Atkin-Lehner |
2+ 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33550i |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1813517177507200 = -1 · 27 · 52 · 11 · 616 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11- 1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-669795,-211278835] |
[a1,a2,a3,a4,a6] |
Generators |
[2804467917:-161977559108:804357] |
Generators of the group modulo torsion |
j |
-1329261481551540303265/72540687100288 |
j-invariant |
L |
5.5986476667449 |
L(r)(E,1)/r! |
Ω |
0.083441591195501 |
Real period |
R |
11.182767862986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33550z2 |
Quadratic twists by: 5 |