Atkin-Lehner |
2- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109564r |
Isogeny class |
Conductor |
109564 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10724559069952 = 28 · 78 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9751,335454] |
[a1,a2,a3,a4,a6] |
Generators |
[210:2499:8] |
Generators of the group modulo torsion |
j |
3404418768/356083 |
j-invariant |
L |
5.3449847387777 |
L(r)(E,1)/r! |
Ω |
0.6991289393217 |
Real period |
R |
3.8226029971005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999647447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15652a2 |
Quadratic twists by: -7 |