Atkin-Lehner |
2- 5- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
39650k |
Isogeny class |
Conductor |
39650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-368044186250 = -1 · 2 · 54 · 136 · 61 |
Discriminant |
Eigenvalues |
2- 1 5- -1 6 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-76763,-8192533] |
[a1,a2,a3,a4,a6] |
Generators |
[2509428042:5704178023:7762392] |
Generators of the group modulo torsion |
j |
-80038670482290625/588870698 |
j-invariant |
L |
11.108415480468 |
L(r)(E,1)/r! |
Ω |
0.14341063309673 |
Real period |
R |
12.90979992278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39650b2 |
Quadratic twists by: 5 |