Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22100m |
Isogeny class |
Conductor |
22100 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
5303023909300000000 = 28 · 58 · 133 · 176 |
Discriminant |
Eigenvalues |
2- 1 5- 2 0 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-638333,161830463] |
[a1,a2,a3,a4,a6] |
Generators |
[629:3094:1] |
Generators of the group modulo torsion |
j |
287651261440000/53030239093 |
j-invariant |
L |
6.5226325624579 |
L(r)(E,1)/r! |
Ω |
0.2298166685338 |
Real period |
R |
1.5767719461081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88400cf1 22100a1 |
Quadratic twists by: -4 5 |