Atkin-Lehner |
2- 7- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
55384k |
Isogeny class |
Conductor |
55384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-1772288 = -1 · 28 · 7 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 1 0 7- -2 4 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-109] |
[a1,a2,a3,a4,a6] |
Generators |
[183:134:27] |
Generators of the group modulo torsion |
j |
-16000000/6923 |
j-invariant |
L |
7.5335128847846 |
L(r)(E,1)/r! |
Ω |
0.9729691615076 |
Real period |
R |
3.8714037314308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110768a1 |
Quadratic twists by: -4 |