Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382z |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.5923520393997E+20 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 11- -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1222425,799819213] |
[a1,a2,a3,a4,a6] |
Generators |
[23609:3611843:1] |
Generators of the group modulo torsion |
j |
-156425280396841/123297834528 |
j-invariant |
L |
5.6012164543866 |
L(r)(E,1)/r! |
Ω |
0.16705112643658 |
Real period |
R |
4.1912441522162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794be2 3762o2 |
Quadratic twists by: -3 -11 |