Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414ci |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
406663443489536352 = 25 · 37 · 72 · 179 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22632656,-41437349805] |
[a1,a2,a3,a4,a6] |
Generators |
[2093735:73966647:343] |
Generators of the group modulo torsion |
j |
14830727012009/4704 |
j-invariant |
L |
7.6483032867396 |
L(r)(E,1)/r! |
Ω |
0.069217464049735 |
Real period |
R |
11.0496727838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138a2 36414cs2 |
Quadratic twists by: -3 17 |