Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10890bg |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
449212500000 = 25 · 33 · 58 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6062,-177251] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:71:1] |
Generators of the group modulo torsion |
j |
685429074513/12500000 |
j-invariant |
L |
6.7572661481828 |
L(r)(E,1)/r! |
Ω |
0.54166647762239 |
Real period |
R |
0.31187393106933 |
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 |
87120de2 10890a2 54450c2 10890f2 |
Quadratic twists by: -4 -3 5 -11 |