Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144bu |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-336723905827362816 = -1 · 211 · 311 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-173019,-39329066] |
[a1,a2,a3,a4,a6] |
j |
-3261064466/1917027 |
j-invariant |
L |
0.45586684420088 |
L(r)(E,1)/r! |
Ω |
0.11396671208908 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27048l1 11592n1 |
Quadratic twists by: -3 -7 |