Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462p |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
8854948674 = 2 · 39 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 11- 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-636,-4042] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:49:1] [-122:413:8] |
Generators of the group modulo torsion |
j |
8560539/2662 |
j-invariant |
L |
5.3204739718776 |
L(r)(E,1)/r! |
Ω |
0.97375366596678 |
Real period |
R |
0.91064680213481 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462bu1 33462bt2 |
Quadratic twists by: -3 13 |