Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190bg |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-210679193043446400 = -1 · 27 · 316 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1732,-22083969] |
[a1,a2,a3,a4,a6] |
Generators |
[461:8517:1] |
Generators of the group modulo torsion |
j |
788632918919/288997521321600 |
j-invariant |
L |
5.9183241565551 |
L(r)(E,1)/r! |
Ω |
0.14532227268163 |
Real period |
R |
1.4544826197429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520cy2 2730g2 40950bo2 57330ff2 |
Quadratic twists by: -4 -3 5 -7 |