Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
8052a |
Isogeny class |
Conductor |
8052 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30501356827392 = 28 · 37 · 114 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14124,593640] |
[a1,a2,a3,a4,a6] |
Generators |
[41:286:1] |
Generators of the group modulo torsion |
j |
1217271970385872/119145925107 |
j-invariant |
L |
3.4450601743671 |
L(r)(E,1)/r! |
Ω |
0.64203796246018 |
Real period |
R |
2.6829100269758 |
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 |
32208n2 128832q2 24156e2 88572c2 |
Quadratic twists by: -4 8 -3 -11 |