Atkin-Lehner |
2+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82654h |
Isogeny class |
Conductor |
82654 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
33564062096708 = 22 · 112 · 132 · 177 |
Discriminant |
Eigenvalues |
2+ 2 2 2 11- 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14889,635153] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:1049:1] |
Generators of the group modulo torsion |
j |
15124197817/1390532 |
j-invariant |
L |
9.3906804891536 |
L(r)(E,1)/r! |
Ω |
0.63804740400127 |
Real period |
R |
3.6794603450416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4862a1 |
Quadratic twists by: 17 |