Atkin-Lehner |
2- 3- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24534m |
Isogeny class |
Conductor |
24534 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
286164576 = 25 · 38 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -4 -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-581,5469] |
[a1,a2,a3,a4,a6] |
Generators |
[11:12:1] |
Generators of the group modulo torsion |
j |
29704593673/392544 |
j-invariant |
L |
10.083348216856 |
L(r)(E,1)/r! |
Ω |
1.7387557784512 |
Real period |
R |
0.57991745257276 |
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 |
8178f1 |
Quadratic twists by: -3 |