Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928z |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
496005055250432 = 221 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 2 0 7- 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7383328,7724400384] |
[a1,a2,a3,a4,a6] |
Generators |
[-1680:124032:1] |
Generators of the group modulo torsion |
j |
2251439055699625/25088 |
j-invariant |
L |
7.6506477513602 |
L(r)(E,1)/r! |
Ω |
0.36762512537335 |
Real period |
R |
5.2027508617579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2366j6 75712cy6 112c6 |
Quadratic twists by: -4 8 13 |