Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82280l |
Isogeny class |
Conductor |
82280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
397056 |
Modular degree for the optimal curve |
Δ |
176374487286800 = 24 · 52 · 1110 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336743,-75210817] |
[a1,a2,a3,a4,a6] |
j |
10175894784/425 |
j-invariant |
L |
0.79274956415743 |
L(r)(E,1)/r! |
Ω |
0.19818738111402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82280b1 |
Quadratic twists by: -11 |