Atkin-Lehner |
3- 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48555d |
Isogeny class |
Conductor |
48555 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22049280 |
Modular degree for the optimal curve |
Δ |
-7.1971817109429E+21 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 -6 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1030338183,12729690001899] |
[a1,a2,a3,a4,a6] |
j |
-165934070665534339137228722176/9872677244091796875 |
j-invariant |
L |
0.19971238565857 |
L(r)(E,1)/r! |
Ω |
0.099856193172382 |
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 |
16185f1 |
Quadratic twists by: -3 |