Atkin-Lehner |
2+ 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67184g |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
1062044672 = 210 · 132 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ -2 -2 4 6 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-664,6180] |
[a1,a2,a3,a4,a6] |
Generators |
[8:38:1] |
Generators of the group modulo torsion |
j |
31665174628/1037153 |
j-invariant |
L |
4.3840078944637 |
L(r)(E,1)/r! |
Ω |
1.5448972781334 |
Real period |
R |
0.70943355855189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33592i1 |
Quadratic twists by: -4 |