Atkin-Lehner |
2- 3- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
77688c |
Isogeny class |
Conductor |
77688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-2696754323367936 = -1 · 211 · 311 · 13 · 833 |
Discriminant |
Eigenvalues |
2- 3- -3 0 -3 13+ 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25419,2945446] |
[a1,a2,a3,a4,a6] |
Generators |
[562:9819:8] |
Generators of the group modulo torsion |
j |
-1216582639634/1806275133 |
j-invariant |
L |
4.5720905009552 |
L(r)(E,1)/r! |
Ω |
0.40867904699258 |
Real period |
R |
5.5937422499577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25896d1 |
Quadratic twists by: -3 |