Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29120bj |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-236513641000000 = -1 · 26 · 56 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91476,10705226] |
[a1,a2,a3,a4,a6] |
j |
-1322726283049957696/3695525640625 |
j-invariant |
L |
1.1174438770974 |
L(r)(E,1)/r! |
Ω |
0.55872193854907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29120bs1 14560f2 |
Quadratic twists by: -4 8 |