Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117117cb |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9495963477 = -1 · 36 · 72 · 112 · 133 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,436,-3220] |
[a1,a2,a3,a4,a6] |
Generators |
[10:40:1] |
Generators of the group modulo torsion |
j |
5735339/5929 |
j-invariant |
L |
5.5581749729406 |
L(r)(E,1)/r! |
Ω |
0.7023755069533 |
Real period |
R |
1.9783488038553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13013p2 117117y2 |
Quadratic twists by: -3 13 |