Atkin-Lehner |
2+ 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040o |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1657501753600 = 28 · 52 · 72 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5767,156774] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:570:1] [-10:462:1] |
Generators of the group modulo torsion |
j |
82857838750416/6474616225 |
j-invariant |
L |
12.315868488317 |
L(r)(E,1)/r! |
Ω |
0.82329916936181 |
Real period |
R |
3.7397913619678 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.00000000006 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58520g2 |
Quadratic twists by: -4 |