Atkin-Lehner |
5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
17225g |
Isogeny class |
Conductor |
17225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
37843325 = 52 · 134 · 53 |
Discriminant |
Eigenvalues |
2 2 5+ -1 -1 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1378,20153] |
[a1,a2,a3,a4,a6] |
Generators |
[234:503:8] |
Generators of the group modulo torsion |
j |
11583678115840/1513733 |
j-invariant |
L |
13.032688131081 |
L(r)(E,1)/r! |
Ω |
1.9766310763577 |
Real period |
R |
1.6483460529084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17225h1 |
Quadratic twists by: 5 |