Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59220g |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-57934588890150000 = -1 · 24 · 313 · 55 · 7 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36273,-11881847] |
[a1,a2,a3,a4,a6] |
Generators |
[381:5441:1] |
Generators of the group modulo torsion |
j |
-452508382610176/4966957209375 |
j-invariant |
L |
5.2452271636886 |
L(r)(E,1)/r! |
Ω |
0.14972759772404 |
Real period |
R |
5.8386332283754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19740u1 |
Quadratic twists by: -3 |