Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ee |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-2.0994070277364E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14590623,-5074947585] |
[a1,a2,a3,a4,a6] |
j |
3820420340137317041/2334869460099072 |
j-invariant |
L |
3.4759897687327 |
L(r)(E,1)/r! |
Ω |
0.057933188752302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304ge2 3822e2 122304bb2 |
Quadratic twists by: -4 8 -7 |