Atkin-Lehner |
2+ 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
33550m |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
409920 |
Modular degree for the optimal curve |
Δ |
-6866175250000000 = -1 · 27 · 59 · 112 · 613 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11+ 3 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-634742,194844916] |
[a1,a2,a3,a4,a6] |
Generators |
[453:-562:1] |
Generators of the group modulo torsion |
j |
-14480573613918021/3515481728 |
j-invariant |
L |
4.6527657990057 |
L(r)(E,1)/r! |
Ω |
0.41001678543533 |
Real period |
R |
0.94564539068521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33550x1 |
Quadratic twists by: 5 |