Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ge |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
48 |
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 |
0.73930840781294 |
L(r)(E,1)/r! |
Ω |
0.061608994360978 |
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 |
122304ee2 30576cp2 122304hm2 |
Quadratic twists by: -4 8 -7 |