Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117bq |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
69645696506639253 = 38 · 7 · 11 · 1310 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5626971,-5136175940] |
[a1,a2,a3,a4,a6] |
j |
5599640476399033/19792773 |
j-invariant |
L |
3.1367567244024 |
L(r)(E,1)/r! |
Ω |
0.098023673497956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39039l4 9009d3 |
Quadratic twists by: -3 13 |