Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800cu |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-89843750000000000 = -1 · 210 · 518 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 -6 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,41367,14039137] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:2575:1] |
Generators of the group modulo torsion |
j |
489277573376/5615234375 |
j-invariant |
L |
2.1648486143733 |
L(r)(E,1)/r! |
Ω |
0.25034223130243 |
Real period |
R |
4.3237782996289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800g2 9200bb2 7360w2 |
Quadratic twists by: -4 8 5 |