Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462k |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1009227840192 = 26 · 33 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-173172,27780624] |
[a1,a2,a3,a4,a6] |
Generators |
[6744:-10132:27] [-224:7548:1] |
Generators of the group modulo torsion |
j |
4406910829875/7744 |
j-invariant |
L |
6.3700908031327 |
L(r)(E,1)/r! |
Ω |
0.7508970298748 |
Real period |
R |
1.0604135037322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33462bp4 198c2 |
Quadratic twists by: -3 13 |