Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ip |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-160584362697560256 = -1 · 26 · 314 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46027,19635839] |
[a1,a2,a3,a4,a6] |
Generators |
[926:27783:1] |
Generators of the group modulo torsion |
j |
-1432197595648/21327258771 |
j-invariant |
L |
6.8395293219748 |
L(r)(E,1)/r! |
Ω |
0.27355567146123 |
Real period |
R |
0.44647019280057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999016768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304gl1 61152bg1 17472ch1 |
Quadratic twists by: -4 8 -7 |