Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144f |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-51322040211456 = -1 · 211 · 33 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -4 -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9261,33614] |
[a1,a2,a3,a4,a6] |
Generators |
[22:498:1] [98:1372:1] |
Generators of the group modulo torsion |
j |
39366/23 |
j-invariant |
L |
8.4155729047354 |
L(r)(E,1)/r! |
Ω |
0.38261936120423 |
Real period |
R |
5.4986585612507 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81144bg1 81144e1 |
Quadratic twists by: -3 -7 |