Atkin-Lehner |
3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
125775o |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3427200 |
Modular degree for the optimal curve |
Δ |
-9.6043836054639E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 -2 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3095667,2149570116] |
[a1,a2,a3,a4,a6] |
Generators |
[1024:6738:1] [12782:279859:8] |
Generators of the group modulo torsion |
j |
-288030812484797929/8431831971875 |
j-invariant |
L |
13.386637519148 |
L(r)(E,1)/r! |
Ω |
0.18915672454501 |
Real period |
R |
17.692521309188 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13975a1 25155n1 |
Quadratic twists by: -3 5 |