Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104bq |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7869374847000576 = -1 · 213 · 37 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-529127427,-4684772695678] |
[a1,a2,a3,a4,a6] |
Generators |
[444334767782959776334670399:422798519632605076518445368:16728392586532077449207] |
Generators of the group modulo torsion |
j |
-5486773802537974663600129/2635437714 |
j-invariant |
L |
5.2944716334634 |
L(r)(E,1)/r! |
Ω |
0.015739085355848 |
Real period |
R |
42.048755643671 |
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 |
1638h2 52416fg2 4368n2 91728fl2 |
Quadratic twists by: -4 8 -3 -7 |