Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
50410l |
Isogeny class |
Conductor |
50410 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
797472 |
Modular degree for the optimal curve |
Δ |
-645753531245761000 = -1 · 23 · 53 · 718 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -3 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-887321,323954401] |
[a1,a2,a3,a4,a6] |
Generators |
[472406088:3556917587:1030301] |
Generators of the group modulo torsion |
j |
-119646289/1000 |
j-invariant |
L |
4.2892479933762 |
L(r)(E,1)/r! |
Ω |
0.28947582891365 |
Real period |
R |
14.81729237791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
50410k1 |
Quadratic twists by: -71 |