Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17325y |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
162520098816796875 = 38 · 58 · 78 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2981255,1981934372] |
[a1,a2,a3,a4,a6] |
Generators |
[574:21150:1] |
Generators of the group modulo torsion |
j |
257260669489908001/14267882475 |
j-invariant |
L |
3.0489463321016 |
L(r)(E,1)/r! |
Ω |
0.30551608639106 |
Real period |
R |
0.62372868154783 |
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 |
5775u5 3465e5 121275dh6 |
Quadratic twists by: -3 5 -7 |