Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800bb |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
36800 = 26 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ -3 3 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,2] |
[a1,a2,a3,a4,a6] |
j |
40000/23 |
j-invariant |
L |
3.0552394558367 |
L(r)(E,1)/r! |
Ω |
3.0552394558371 |
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 |
36800n1 18400i1 36800bm1 |
Quadratic twists by: -4 8 5 |