Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20880bh |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-25056000 = -1 · 28 · 33 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -1 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-888,10188] |
[a1,a2,a3,a4,a6] |
Generators |
[18:6:1] |
Generators of the group modulo torsion |
j |
-11203633152/3625 |
j-invariant |
L |
5.0535321794564 |
L(r)(E,1)/r! |
Ω |
2.0800740663268 |
Real period |
R |
0.60737406677788 |
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 |
5220b1 83520du1 20880bm1 104400df1 |
Quadratic twists by: -4 8 -3 5 |