Atkin-Lehner |
13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17069a |
Isogeny class |
Conductor |
17069 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4680 |
Modular degree for the optimal curve |
Δ |
487507709 = 136 · 101 |
Discriminant |
Eigenvalues |
0 -2 1 2 2 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-225,-828] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] |
Generators of the group modulo torsion |
j |
262144/101 |
j-invariant |
L |
3.3947729033575 |
L(r)(E,1)/r! |
Ω |
1.273105514572 |
Real period |
R |
2.6665291010845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101a1 |
Quadratic twists by: 13 |