Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850ft |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
14929920 |
Modular degree for the optimal curve |
Δ |
-4.3341354978803E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-105068398,-415747424548] |
[a1,a2,a3,a4,a6] |
j |
-43612581618346739773945/147358175518034712 |
j-invariant |
L |
3.3945027682163 |
L(r)(E,1)/r! |
Ω |
0.023572935908762 |
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 |
80850bb1 11550bj1 |
Quadratic twists by: 5 -7 |