Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350cl |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4.3440120303433E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- 5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2371537,-2841473469] |
[a1,a2,a3,a4,a6] |
j |
3639707951/10718750 |
j-invariant |
L |
3.4002384532565 |
L(r)(E,1)/r! |
Ω |
0.070838301111363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470c2 42350j2 |
Quadratic twists by: 5 -11 |