Atkin-Lehner |
2+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
80344c |
Isogeny class |
Conductor |
80344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22880 |
Modular degree for the optimal curve |
Δ |
-2352633008 = -1 · 24 · 116 · 83 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 11- 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-403,-3760] |
[a1,a2,a3,a4,a6] |
j |
-256000/83 |
j-invariant |
L |
1.0480318283207 |
L(r)(E,1)/r! |
Ω |
0.52401590151306 |
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 |
664c1 |
Quadratic twists by: -11 |