Atkin-Lehner |
2- 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43824bi |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
110702592 |
Modular degree for the optimal curve |
Δ |
2.5516624744932E+27 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-139314069808,20014261600368980] |
[a1,a2,a3,a4,a6] |
j |
73004343986575294668452356853640625/622964471311819616550912 |
j-invariant |
L |
0.82416443619738 |
L(r)(E,1)/r! |
Ω |
0.031698632163278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478j1 |
Quadratic twists by: -4 |