Atkin-Lehner |
2- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
117670k |
Isogeny class |
Conductor |
117670 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-72072875000 = -1 · 23 · 56 · 73 · 412 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -6 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1511,-26667] |
[a1,a2,a3,a4,a6] |
Generators |
[398:1047:8] [81:584:1] |
Generators of the group modulo torsion |
j |
-226969423969/42875000 |
j-invariant |
L |
12.859083967421 |
L(r)(E,1)/r! |
Ω |
0.37899258108073 |
Real period |
R |
5.6549409346732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002548 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117670o2 |
Quadratic twists by: 41 |