Atkin-Lehner |
3- 5- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23055g |
Isogeny class |
Conductor |
23055 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
-5967722869321275 = -1 · 39 · 52 · 29 · 535 |
Discriminant |
Eigenvalues |
0 3- 5- 1 0 -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-351395,80144549] |
[a1,a2,a3,a4,a6] |
Generators |
[-317:12640:1] |
Generators of the group modulo torsion |
j |
-4798568302702538162176/5967722869321275 |
j-invariant |
L |
6.0278974883495 |
L(r)(E,1)/r! |
Ω |
0.4243514724067 |
Real period |
R |
0.15783293593771 |
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 |
69165e1 115275b1 |
Quadratic twists by: -3 5 |