Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880bi |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
57313808193945600 = 221 · 312 · 52 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-729376,-239239424] |
[a1,a2,a3,a4,a6] |
Generators |
[8816:823680:1] |
Generators of the group modulo torsion |
j |
10476561483361670689/13992628953600 |
j-invariant |
L |
5.4753647497924 |
L(r)(E,1)/r! |
Ω |
0.16337908906013 |
Real period |
R |
4.1891566274598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610be2 |
Quadratic twists by: -4 |