Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472cy |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
49917972529152 = 214 · 314 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10673,250575] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:756:1] |
Generators of the group modulo torsion |
j |
8207369602000/3046751253 |
j-invariant |
L |
6.2612668223968 |
L(r)(E,1)/r! |
Ω |
0.57942249655149 |
Real period |
R |
0.77186051131719 |
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 |
17472b2 4368e2 52416gg2 122304eu2 |
Quadratic twists by: -4 8 -3 -7 |