Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864t |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
2643363995021568 = 28 · 39 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17698359,-28658114422] |
[a1,a2,a3,a4,a6] |
j |
27923315228972368/120393 |
j-invariant |
L |
2.6498348374929 |
L(r)(E,1)/r! |
Ω |
0.07360652326592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728bn1 15288y1 6552j1 |
Quadratic twists by: -4 -3 -7 |