Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200a |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
91772643600000000 = 210 · 38 · 58 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117008,-4949988] |
[a1,a2,a3,a4,a6] |
Generators |
[-263:2750:1] |
Generators of the group modulo torsion |
j |
11072714683684/5735790225 |
j-invariant |
L |
3.5141985669674 |
L(r)(E,1)/r! |
Ω |
0.27313025160163 |
Real period |
R |
3.2165958743759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014488 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22440x2 |
Quadratic twists by: 5 |