Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958bo |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-33022296 = -1 · 23 · 33 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -3 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34,284] |
[a1,a2,a3,a4,a6] |
Generators |
[14:44:1] |
Generators of the group modulo torsion |
j |
-8231953/62424 |
j-invariant |
L |
8.9482404173147 |
L(r)(E,1)/r! |
Ω |
1.7809369271879 |
Real period |
R |
0.27913648149893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958bi1 |
Quadratic twists by: -23 |