Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14352r |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-330141007872 = -1 · 220 · 34 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-488,-27792] |
[a1,a2,a3,a4,a6] |
j |
-3144219625/80600832 |
j-invariant |
L |
1.6698208804827 |
L(r)(E,1)/r! |
Ω |
0.41745522012067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1794e1 57408dd1 43056bh1 |
Quadratic twists by: -4 8 -3 |