Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64080q |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8718013255680 = 212 · 314 · 5 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342003,-76982542] |
[a1,a2,a3,a4,a6] |
Generators |
[-449603:13790:1331] |
Generators of the group modulo torsion |
j |
1481582988342001/2919645 |
j-invariant |
L |
5.8423645239387 |
L(r)(E,1)/r! |
Ω |
0.19742044527901 |
Real period |
R |
7.3983782623835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4005c3 21360j4 |
Quadratic twists by: -4 -3 |