Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850gr |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
-8.6169627768046E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,222312,-1411732008] |
[a1,a2,a3,a4,a6] |
Generators |
[2538:-125778:1] |
Generators of the group modulo torsion |
j |
661003929431/468755040600 |
j-invariant |
L |
12.622467022055 |
L(r)(E,1)/r! |
Ω |
0.073819634286352 |
Real period |
R |
0.79162336515593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170r2 11550bo2 |
Quadratic twists by: 5 -7 |