Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600p |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.156415616E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-680033,141011937] |
[a1,a2,a3,a4,a6] |
Generators |
[-267232:-4817961:343] |
Generators of the group modulo torsion |
j |
16981825082402/5646560625 |
j-invariant |
L |
6.4724978457729 |
L(r)(E,1)/r! |
Ω |
0.20867992321525 |
Real period |
R |
7.7540974501144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600ig3 10200p3 16320be3 |
Quadratic twists by: -4 8 5 |