Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680do |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.9295777387121E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41042157,185537339858] |
[a1,a2,a3,a4,a6] |
Generators |
[-358950263302:-50863463196525:170031464] |
Generators of the group modulo torsion |
j |
18573478391/46875000 |
j-invariant |
L |
7.8118801979339 |
L(r)(E,1)/r! |
Ω |
0.04796858878387 |
Real period |
R |
20.356759485701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210j2 40560bs2 121680ey2 |
Quadratic twists by: -4 -3 13 |