Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200bk |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-278516000000 = -1 · 28 · 56 · 74 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -1 -1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-908,-27188] |
[a1,a2,a3,a4,a6] |
Generators |
[53:266:1] |
Generators of the group modulo torsion |
j |
-20720464/69629 |
j-invariant |
L |
4.5680948734866 |
L(r)(E,1)/r! |
Ω |
0.3999417359404 |
Real period |
R |
2.8554752250856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20300a1 3248f1 |
Quadratic twists by: -4 5 |