Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462a |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
7264470436638345216 = 211 · 33 · 115 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 11+ 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2542890,-1554740108] |
[a1,a2,a3,a4,a6] |
Generators |
[-24963:74927:27] |
Generators of the group modulo torsion |
j |
82564992800667/329832448 |
j-invariant |
L |
3.5737265116117 |
L(r)(E,1)/r! |
Ω |
0.11958370730184 |
Real period |
R |
4.980787924271 |
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 |
33462bw1 33462bv1 |
Quadratic twists by: -3 13 |