Atkin-Lehner |
2- 3- 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
31110bc |
Isogeny class |
Conductor |
31110 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2822198403600 = 24 · 38 · 52 · 172 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-559980,-161336448] |
[a1,a2,a3,a4,a6] |
j |
19419646014693393865921/2822198403600 |
j-invariant |
L |
2.7923921473346 |
L(r)(E,1)/r! |
Ω |
0.17452450920842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
93330j2 |
Quadratic twists by: -3 |