Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
33300g |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-323207634613420800 = -1 · 28 · 39 · 52 · 376 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,155760,-13723180] |
[a1,a2,a3,a4,a6] |
Generators |
[109:2133:1] |
Generators of the group modulo torsion |
j |
89574424248320/69274613043 |
j-invariant |
L |
5.655232225811 |
L(r)(E,1)/r! |
Ω |
0.17006036662651 |
Real period |
R |
4.1567829250825 |
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 |
11100a2 33300y2 |
Quadratic twists by: -3 5 |