Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bv |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
1505025460224 = 211 · 33 · 115 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 11- 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15047,-704193] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:78:1] |
Generators of the group modulo torsion |
j |
82564992800667/329832448 |
j-invariant |
L |
9.6493839970699 |
L(r)(E,1)/r! |
Ω |
0.43116518838688 |
Real period |
R |
0.20345258630184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462b1 33462a1 |
Quadratic twists by: -3 13 |