Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cx |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
7614705586995360000 = 28 · 38 · 54 · 72 · 236 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-566041,-96180679] |
[a1,a2,a3,a4,a6] |
Generators |
[-574:6587:1] |
Generators of the group modulo torsion |
j |
135487869158881/51438240000 |
j-invariant |
L |
13.37468935778 |
L(r)(E,1)/r! |
Ω |
0.17969892072474 |
Real period |
R |
1.1629425489445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000146 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
210e2 |
Quadratic twists by: -23 |