Atkin-Lehner |
3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
117117y |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-45835201974454893 = -1 · 36 · 72 · 112 · 139 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 11+ 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,73737,-6852546] |
[a1,a2,a3,a4,a6] |
Generators |
[14118:1670694:1] |
Generators of the group modulo torsion |
j |
5735339/5929 |
j-invariant |
L |
4.9042916705165 |
L(r)(E,1)/r! |
Ω |
0.19480391576539 |
Real period |
R |
6.2938823092711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13013g2 117117cb2 |
Quadratic twists by: -3 13 |