Atkin-Lehner |
3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83259n |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-4368497348246808051 = -1 · 38 · 113 · 298 |
Discriminant |
Eigenvalues |
0 3- -3 2 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19901424,34172458335] |
[a1,a2,a3,a4,a6] |
j |
-2390367404032/11979 |
j-invariant |
L |
0.86967038747565 |
L(r)(E,1)/r! |
Ω |
0.21741759658054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
27753e2 83259e2 |
Quadratic twists by: -3 29 |