Atkin-Lehner |
2- 3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
5478l |
Isogeny class |
Conductor |
5478 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
123408384 = 212 · 3 · 112 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-649,6071] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:120:1] |
Generators of the group modulo torsion |
j |
30234279618577/123408384 |
j-invariant |
L |
4.3110965249896 |
L(r)(E,1)/r! |
Ω |
1.8680627033579 |
Real period |
R |
1.5385267019287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43824bc1 16434e1 60258i1 |
Quadratic twists by: -4 -3 -11 |