Atkin-Lehner |
3- 5- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23055i |
Isogeny class |
Conductor |
23055 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-115275 = -1 · 3 · 52 · 29 · 53 |
Discriminant |
Eigenvalues |
0 3- 5- -3 0 -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5,-19] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
-16777216/115275 |
j-invariant |
L |
4.6089256520594 |
L(r)(E,1)/r! |
Ω |
1.3952782948313 |
Real period |
R |
1.6516151900065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69165g1 115275e1 |
Quadratic twists by: -3 5 |