Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320n |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4.0095224463872E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 0 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,782744,-147788944] |
[a1,a2,a3,a4,a6] |
Generators |
[1940:93104:1] |
Generators of the group modulo torsion |
j |
165348311/125000 |
j-invariant |
L |
4.6970654749013 |
L(r)(E,1)/r! |
Ω |
0.11410140961898 |
Real period |
R |
1.7152378932704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5290a2 42320x2 |
Quadratic twists by: -4 -23 |