Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36192o |
Isogeny class |
Conductor |
36192 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-131708768256 = -1 · 212 · 38 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1249,23951] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-108:1] |
Generators of the group modulo torsion |
j |
-52650044992/32155461 |
j-invariant |
L |
5.810741736736 |
L(r)(E,1)/r! |
Ω |
0.96250921816454 |
Real period |
R |
0.37731727830985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36192f2 72384cd1 108576y2 |
Quadratic twists by: -4 8 -3 |