Atkin-Lehner |
2+ 3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bz |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
76184573689528920 = 23 · 312 · 5 · 7 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-127989,-11554947] |
[a1,a2,a3,a4,a6] |
Generators |
[3822:46203:8] |
Generators of the group modulo torsion |
j |
318065108596392529/104505588051480 |
j-invariant |
L |
5.3296054405601 |
L(r)(E,1)/r! |
Ω |
0.25903809134612 |
Real period |
R |
5.1436502845302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cm2 |
Quadratic twists by: -3 |