Atkin-Lehner |
2- 5+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
65650p |
Isogeny class |
Conductor |
65650 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-7034483107600000000 = -1 · 210 · 58 · 132 · 1014 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 2 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-208813,132769617] |
[a1,a2,a3,a4,a6] |
Generators |
[-518:10359:1] |
Generators of the group modulo torsion |
j |
-64443098670429961/450206918886400 |
j-invariant |
L |
5.7386664370302 |
L(r)(E,1)/r! |
Ω |
0.20298584840077 |
Real period |
R |
0.35339079563608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13130d2 |
Quadratic twists by: 5 |