Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800u |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-368000000 = -1 · 210 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 0 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,463] |
[a1,a2,a3,a4,a6] |
j |
32000/23 |
j-invariant |
L |
2.1569215615091 |
L(r)(E,1)/r! |
Ω |
1.0784607807524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800cd1 2300e1 1472b1 |
Quadratic twists by: -4 8 5 |