Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800g |
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 |
[1991059406409414:-297597889484049025:89134915563] |
Generators of the group modulo torsion |
j |
489277573376/5615234375 |
j-invariant |
L |
8.4217714998781 |
L(r)(E,1)/r! |
Ω |
0.16696642401141 |
Real period |
R |
25.219955298624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800cu2 2300a2 7360m2 |
Quadratic twists by: -4 8 5 |