Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13800i |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-7452000000 = -1 · 28 · 34 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108,4212] |
[a1,a2,a3,a4,a6] |
j |
-35152/1863 |
j-invariant |
L |
2.188225968227 |
L(r)(E,1)/r! |
Ω |
1.0941129841135 |
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 |
27600y1 110400ej1 41400bu1 552e1 |
Quadratic twists by: -4 8 -3 5 |