Atkin-Lehner |
2- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61088f |
Isogeny class |
Conductor |
61088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-1486515392 = -1 · 26 · 234 · 83 |
Discriminant |
Eigenvalues |
2- -1 2 -1 3 4 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-202,2228] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:46:1] |
Generators of the group modulo torsion |
j |
-14313506752/23226803 |
j-invariant |
L |
6.1115051168012 |
L(r)(E,1)/r! |
Ω |
1.3542500865514 |
Real period |
R |
0.56410418373928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61088e1 122176bu1 |
Quadratic twists by: -4 8 |