Atkin-Lehner |
2- 3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494cl |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
1376754781248 = 26 · 38 · 73 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4289,-91119] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:144:1] |
Generators of the group modulo torsion |
j |
11966561852617/1888552512 |
j-invariant |
L |
13.365147973822 |
L(r)(E,1)/r! |
Ω |
0.59623448084452 |
Real period |
R |
0.6226646092905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36498m1 |
Quadratic twists by: -3 |