Atkin-Lehner |
2- 3+ 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
41118j |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
536895645964524 = 22 · 34 · 74 · 11 · 894 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27094,-1316569] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:549:1] [1798:15117:8] |
Generators of the group modulo torsion |
j |
2199601936494105697/536895645964524 |
j-invariant |
L |
10.191196560388 |
L(r)(E,1)/r! |
Ω |
0.37874221972625 |
Real period |
R |
3.3635003009944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354k3 |
Quadratic twists by: -3 |