Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502y |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3421440 |
Modular degree for the optimal curve |
Δ |
-1.7349726745076E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 4 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,129024,199575360] |
[a1,a2,a3,a4,a6] |
j |
12562583/917568 |
j-invariant |
L |
1.3374567741899 |
L(r)(E,1)/r! |
Ω |
0.16718204935631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42834bi1 128502cb1 |
Quadratic twists by: -3 -11 |