Atkin-Lehner |
2- 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810ex |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8535055460299830 = 2 · 320 · 5 · 7 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80042,7517571] |
[a1,a2,a3,a4,a6] |
Generators |
[6996:12821:64] |
Generators of the group modulo torsion |
j |
77793783224833369/11707895007270 |
j-invariant |
L |
12.855607289188 |
L(r)(E,1)/r! |
Ω |
0.39593120851603 |
Real period |
R |
8.1173238079333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270g2 |
Quadratic twists by: -3 |