Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192cc |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15606732091392 = 212 · 37 · 134 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-141051,-20388886] |
[a1,a2,a3,a4,a6] |
Generators |
[14818:623441:8] |
Generators of the group modulo torsion |
j |
103935699753913/5226663 |
j-invariant |
L |
6.3620071962707 |
L(r)(E,1)/r! |
Ω |
0.24635241425566 |
Real period |
R |
6.4562054597992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999818647 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7137g3 38064x4 |
Quadratic twists by: -4 -3 |