Atkin-Lehner |
3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55233i |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.7682681799188E+20 |
Discriminant |
Eigenvalues |
1 3- -2 0 6 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1444248,192645625] |
[a1,a2,a3,a4,a6] |
Generators |
[20494:912343:8] |
Generators of the group modulo torsion |
j |
1416247867/751689 |
j-invariant |
L |
7.1125750164157 |
L(r)(E,1)/r! |
Ω |
0.15810458921614 |
Real period |
R |
5.6233148036089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999361 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18411b2 55233l2 |
Quadratic twists by: -3 -19 |