Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cp |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-185211632468205486 = -1 · 2 · 38 · 113 · 139 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-938489,350785127] |
[a1,a2,a3,a4,a6] |
Generators |
[3486:37799:8] |
Generators of the group modulo torsion |
j |
-25979045828113/52635726 |
j-invariant |
L |
4.6436545068259 |
L(r)(E,1)/r! |
Ω |
0.32003138781965 |
Real period |
R |
1.8137496365837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154u2 2574o2 |
Quadratic twists by: -3 13 |