Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1116f |
Isogeny class |
Conductor |
1116 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-253314541296 = -1 · 24 · 312 · 313 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2258229,1306171141] |
[a1,a2,a3,a4,a6] |
j |
-109189315135671400192/21717639 |
j-invariant |
L |
1.1464994711779 |
L(r)(E,1)/r! |
Ω |
0.57324973558895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4464v2 17856bf2 372c2 27900i2 |
Quadratic twists by: -4 8 -3 5 |