Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bh |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
117744203730582 = 2 · 38 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-177228,28757106] |
[a1,a2,a3,a4,a6] |
Generators |
[153:2205:1] |
Generators of the group modulo torsion |
j |
174958262857/33462 |
j-invariant |
L |
2.387424632858 |
L(r)(E,1)/r! |
Ω |
0.5728855857054 |
Real period |
R |
1.0418418146786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154bd2 2574u2 |
Quadratic twists by: -3 13 |