Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502bl |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.6281362117072E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43444589,-91526697259] |
[a1,a2,a3,a4,a6] |
Generators |
[-3965:137572:1] |
Generators of the group modulo torsion |
j |
5275566320629787/947172413952 |
j-invariant |
L |
16.117308294366 |
L(r)(E,1)/r! |
Ω |
0.059530610396607 |
Real period |
R |
7.5205511951547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000111913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834m2 128502i2 |
Quadratic twists by: -3 -11 |