Atkin-Lehner |
5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17225c |
Isogeny class |
Conductor |
17225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-33642578125 = -1 · 511 · 13 · 53 |
Discriminant |
Eigenvalues |
1 2 5+ 2 1 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1000,14625] |
[a1,a2,a3,a4,a6] |
j |
-7088952961/2153125 |
j-invariant |
L |
4.4117895302029 |
L(r)(E,1)/r! |
Ω |
1.1029473825507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3445b1 |
Quadratic twists by: 5 |