Atkin-Lehner |
2- 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840dm |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
-1.45058203125E+31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6077737480,-17839036665132] |
[a1,a2,a3,a4,a6] |
j |
6061632128927892051151882160519/3541460037231445312500000000 |
j-invariant |
L |
4.4019840455883 |
L(r)(E,1)/r! |
Ω |
0.013101142939056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230g4 |
Quadratic twists by: -4 |