Atkin-Lehner |
3- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33165l |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
11081255625 = 37 · 54 · 112 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4635,-120200] |
[a1,a2,a3,a4,a6] |
Generators |
[67720:607165:512] |
Generators of the group modulo torsion |
j |
15107691357361/15200625 |
j-invariant |
L |
6.2439894645998 |
L(r)(E,1)/r! |
Ω |
0.57864068030148 |
Real period |
R |
5.3953944798236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11055c1 |
Quadratic twists by: -3 |