Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384di |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
10450944 |
Modular degree for the optimal curve |
Δ |
-1.7377838661303E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71940193,243247406879] |
[a1,a2,a3,a4,a6] |
j |
-157071934309059089673625/6629119362374565888 |
j-invariant |
L |
1.4967625399406 |
L(r)(E,1)/r! |
Ω |
0.08315347523 |
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 |
72384o1 18096r1 |
Quadratic twists by: -4 8 |