Atkin-Lehner |
2- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
50410p |
Isogeny class |
Conductor |
50410 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
2.8422250494972E+21 |
Discriminant |
Eigenvalues |
2- -1 5- -3 -2 1 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5570410,-4364398185] |
[a1,a2,a3,a4,a6] |
Generators |
[-41919:651071:27] [-1237:25823:1] |
Generators of the group modulo torsion |
j |
149222774347921/22187500000 |
j-invariant |
L |
11.322630978848 |
L(r)(E,1)/r! |
Ω |
0.099249677181324 |
Real period |
R |
0.57041147641029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
710d1 |
Quadratic twists by: -71 |