Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800c |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
208000000 = 210 · 56 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 2 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-400,-3000] |
[a1,a2,a3,a4,a6] |
Generators |
[1860:6375:64] |
Generators of the group modulo torsion |
j |
442368/13 |
j-invariant |
L |
5.2035478226358 |
L(r)(E,1)/r! |
Ω |
1.069461065099 |
Real period |
R |
4.8655794890055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20800cg1 1300b1 832d1 |
Quadratic twists by: -4 8 5 |