Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502cd |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
16773120 |
Modular degree for the optimal curve |
Δ |
2.23280043496E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54430421,-152870110819] |
[a1,a2,a3,a4,a6] |
Generators |
[412424217:-39578840492:29791] |
Generators of the group modulo torsion |
j |
13809092721694064353/172888564684176 |
j-invariant |
L |
11.101846499426 |
L(r)(E,1)/r! |
Ω |
0.055624739263403 |
Real period |
R |
8.3160288728455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834p1 11682d1 |
Quadratic twists by: -3 -11 |