Atkin-Lehner |
2- 3- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
77688f |
Isogeny class |
Conductor |
77688 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
12300288 |
Modular degree for the optimal curve |
Δ |
-4.5897590605775E+24 |
Discriminant |
Eigenvalues |
2- 3- -1 4 3 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104675403,424898610086] |
[a1,a2,a3,a4,a6] |
j |
-84957193291579716790802/3074202045675702357 |
j-invariant |
L |
3.3817986819932 |
L(r)(E,1)/r! |
Ω |
0.076859060603264 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25896c1 |
Quadratic twists by: -3 |