Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472cx |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-717522624 = -1 · 26 · 36 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -4 13+ 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99,-1377] |
[a1,a2,a3,a4,a6] |
j |
-1693669888/11211291 |
j-invariant |
L |
4.0377476694195 |
L(r)(E,1)/r! |
Ω |
0.67295794490325 |
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 |
17472bs1 8736e1 52416gd1 122304gm1 |
Quadratic twists by: -4 8 -3 -7 |