Atkin-Lehner |
3- 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
17271k |
Isogeny class |
Conductor |
17271 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
3059505837 = 313 · 19 · 101 |
Discriminant |
Eigenvalues |
0 3- -2 -2 -3 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-696,6547] |
[a1,a2,a3,a4,a6] |
Generators |
[5:56:1] [31:121:1] |
Generators of the group modulo torsion |
j |
51147440128/4196853 |
j-invariant |
L |
5.2032829853857 |
L(r)(E,1)/r! |
Ω |
1.3894448396364 |
Real period |
R |
0.93621618450644 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5757b1 |
Quadratic twists by: -3 |