Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13536y |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
223749279535104 = 212 · 319 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -3 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25032,1343792] |
[a1,a2,a3,a4,a6] |
Generators |
[892:26244:1] |
Generators of the group modulo torsion |
j |
580928771584/74933181 |
j-invariant |
L |
4.8139788052032 |
L(r)(E,1)/r! |
Ω |
0.53920443634139 |
Real period |
R |
1.1159910974275 |
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 |
13536m1 27072m1 4512d1 |
Quadratic twists by: -4 8 -3 |