Atkin-Lehner |
3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81627q |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
102336 |
Modular degree for the optimal curve |
Δ |
-2757985567701 = -1 · 3 · 72 · 138 · 23 |
Discriminant |
Eigenvalues |
-1 3- 1 7+ 2 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-595,-80146] |
[a1,a2,a3,a4,a6] |
j |
-28561/3381 |
j-invariant |
L |
2.1472959660314 |
L(r)(E,1)/r! |
Ω |
0.35788266914856 |
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 |
81627t1 |
Quadratic twists by: 13 |