Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
36192t |
Isogeny class |
Conductor |
36192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
6297408 = 26 · 32 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 -2 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46,-28] |
[a1,a2,a3,a4,a6] |
j |
171879616/98397 |
j-invariant |
L |
3.9678254778234 |
L(r)(E,1)/r! |
Ω |
1.9839127389172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36192y1 72384e2 108576bn1 |
Quadratic twists by: -4 8 -3 |