Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200ch |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
451396800000000 = 212 · 38 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-146033,-21503937] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:156:1] |
Generators of the group modulo torsion |
j |
5381455253824/7053075 |
j-invariant |
L |
9.0701748463174 |
L(r)(E,1)/r! |
Ω |
0.24424221804967 |
Real period |
R |
2.3209989275244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200f4 20640a2 |
Quadratic twists by: -4 5 |