Atkin-Lehner |
2- 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
6890o |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2967006250000 = 24 · 58 · 132 · 532 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9057,323489] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:816:1] |
Generators of the group modulo torsion |
j |
82154595235787361/2967006250000 |
j-invariant |
L |
5.6707818284347 |
L(r)(E,1)/r! |
Ω |
0.79633537503804 |
Real period |
R |
0.89013718437471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55120x2 62010m2 34450a2 89570c2 |
Quadratic twists by: -4 -3 5 13 |