Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82418u |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-8.5637949059928E+22 |
Discriminant |
Eigenvalues |
2- -1 1 7- 5 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-185586524950,-30772931111311341] |
[a1,a2,a3,a4,a6] |
j |
-414183515883649725221/50176 |
j-invariant |
L |
3.6369132738989 |
L(r)(E,1)/r! |
Ω |
0.0036369133082426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774m2 82418f2 |
Quadratic twists by: -7 29 |