Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094ce |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
3111231574206954 = 2 · 38 · 117 · 233 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- -1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-71897,-6899857] |
[a1,a2,a3,a4,a6] |
Generators |
[-1186:6155:8] |
Generators of the group modulo torsion |
j |
31824875809/2409066 |
j-invariant |
L |
10.222614908105 |
L(r)(E,1)/r! |
Ω |
0.29295222608491 |
Real period |
R |
1.4539650151515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698p1 4554g1 |
Quadratic twists by: -3 -11 |