Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850s |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
52976430000000 = 27 · 36 · 57 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3669151,2704875698] |
[a1,a2,a3,a4,a6] |
Generators |
[1096:17:1] |
Generators of the group modulo torsion |
j |
349623222259447408609/3390491520 |
j-invariant |
L |
5.640938915826 |
L(r)(E,1)/r! |
Ω |
0.44026376739589 |
Real period |
R |
2.1354391538651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898491 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770r2 |
Quadratic twists by: 5 |