Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200t |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
28802921220000000 = 28 · 310 · 57 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9143175,-10641271750] |
[a1,a2,a3,a4,a6] |
Generators |
[12835:1409400:1] |
Generators of the group modulo torsion |
j |
28988603169478864/9877545 |
j-invariant |
L |
5.0851315532722 |
L(r)(E,1)/r! |
Ω |
0.086821104311844 |
Real period |
R |
2.4404260123815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400bk1 17400x1 10440bb1 |
Quadratic twists by: -4 -3 5 |