Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20880bg |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-263401200 = -1 · 24 · 33 · 52 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,147,-373] |
[a1,a2,a3,a4,a6] |
Generators |
[26:145:1] |
Generators of the group modulo torsion |
j |
813189888/609725 |
j-invariant |
L |
5.2205010765969 |
L(r)(E,1)/r! |
Ω |
0.97632485632878 |
Real period |
R |
0.44559119186921 |
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 |
5220a1 83520dt1 20880bl2 104400de1 |
Quadratic twists by: -4 8 -3 5 |