Atkin-Lehner |
3- 5+ 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41055j |
Isogeny class |
Conductor |
41055 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.4369075527594E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-127947569,-556991801233] |
[a1,a2,a3,a4,a6] |
j |
231643342735910716278992066569/34369075527593994140625 |
j-invariant |
L |
1.4364661297533 |
L(r)(E,1)/r! |
Ω |
0.044889566555365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123165r2 |
Quadratic twists by: -3 |