Atkin-Lehner |
2- 5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450ba |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-16944200 = -1 · 23 · 52 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68758,-6968229] |
[a1,a2,a3,a4,a6] |
Generators |
[13115444:5930694185:64] |
Generators of the group modulo torsion |
j |
-1437983176699382665/677768 |
j-invariant |
L |
6.6352869551733 |
L(r)(E,1)/r! |
Ω |
0.1474139954149 |
Real period |
R |
15.003747173853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450t2 |
Quadratic twists by: 5 |