Atkin-Lehner |
2- 3- 7- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124614u |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
88755243392882178 = 2 · 36 · 76 · 234 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -4 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143483,-15201111] |
[a1,a2,a3,a4,a6] |
j |
448120375984892521/121749305065682 |
j-invariant |
L |
6.007179499761 |
L(r)(E,1)/r! |
Ω |
0.25029915810696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13846d2 |
Quadratic twists by: -3 |