Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850co |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
25478361562500 = 22 · 32 · 57 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7376,-22102] |
[a1,a2,a3,a4,a6] |
j |
24137569/13860 |
j-invariant |
L |
2.238356276267 |
L(r)(E,1)/r! |
Ω |
0.55958906571027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bt1 11550l1 |
Quadratic twists by: 5 -7 |