Atkin-Lehner |
2- 3- 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558bn |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-1144726509846528 = -1 · 218 · 38 · 72 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13885,1744241] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:-1489:1] |
Generators of the group modulo torsion |
j |
-296048809678562641/1144726509846528 |
j-invariant |
L |
7.9557428025612 |
L(r)(E,1)/r! |
Ω |
0.42642841027718 |
Real period |
R |
0.12956034958075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674w1 |
Quadratic twists by: -3 |