Atkin-Lehner |
2- 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13566s |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
deg |
125440 |
Modular degree for the optimal curve |
Δ |
70889922816427008 = 210 · 37 · 78 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-224573,-38926479] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:1567:1] |
Generators of the group modulo torsion |
j |
1252553990449987212625/70889922816427008 |
j-invariant |
L |
8.8232460490741 |
L(r)(E,1)/r! |
Ω |
0.22008518152164 |
Real period |
R |
0.14317907645822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108528m1 40698o1 94962bm1 |
Quadratic twists by: -4 -3 -7 |