Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20880bj |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-228322800 = -1 · 24 · 39 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -1 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24813,-1504413] |
[a1,a2,a3,a4,a6] |
Generators |
[226:2105:1] |
Generators of the group modulo torsion |
j |
-5364759575808/725 |
j-invariant |
L |
3.7689168557832 |
L(r)(E,1)/r! |
Ω |
0.19019528069342 |
Real period |
R |
4.9540094292066 |
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 |
5220c1 83520dx1 20880bo1 104400di1 |
Quadratic twists by: -4 8 -3 5 |