Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33440t |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
8360000 = 26 · 54 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11+ 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53,-52] |
[a1,a2,a3,a4,a6] |
Generators |
[8:6:1] |
Generators of the group modulo torsion |
j |
257259456/130625 |
j-invariant |
L |
4.5619434183146 |
L(r)(E,1)/r! |
Ω |
1.8672517229195 |
Real period |
R |
2.4431325259038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440e1 66880bj1 |
Quadratic twists by: -4 8 |