Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050eo |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2795520 |
Modular degree for the optimal curve |
Δ |
-2.2612239125532E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-133880,723764747] |
[a1,a2,a3,a4,a6] |
Generators |
[230055:10123319:125] |
Generators of the group modulo torsion |
j |
-169/144 |
j-invariant |
L |
10.758974461076 |
L(r)(E,1)/r! |
Ω |
0.14278523768019 |
Real period |
R |
9.4188434974936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350ba1 3042c1 76050bj1 |
Quadratic twists by: -3 5 13 |