Atkin-Lehner |
3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82173f |
Isogeny class |
Conductor |
82173 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
109805655645777 = 3 · 77 · 13 · 434 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-73232,-7617151] |
[a1,a2,a3,a4,a6] |
Generators |
[-119180756:143453733:778688] |
Generators of the group modulo torsion |
j |
369172746312553/933332673 |
j-invariant |
L |
7.7526815151791 |
L(r)(E,1)/r! |
Ω |
0.29026256271251 |
Real period |
R |
13.354601162718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11739f3 |
Quadratic twists by: -7 |