Atkin-Lehner |
2- 3- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672br |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-38747972145512448 = -1 · 223 · 36 · 75 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13+ -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10304,-9482700] |
[a1,a2,a3,a4,a6] |
Generators |
[394:-6912:1] |
Generators of the group modulo torsion |
j |
-29540882258497/9459954137088 |
j-invariant |
L |
5.2991919003135 |
L(r)(E,1)/r! |
Ω |
0.16302654253766 |
Real period |
R |
1.3543786393357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998032288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834o1 |
Quadratic twists by: -4 |