Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330u |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
2915229096221000000 = 26 · 56 · 132 · 297 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -2 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8353250,9288629935] |
[a1,a2,a3,a4,a6] |
Generators |
[2525:64335:1] |
Generators of the group modulo torsion |
j |
108368276433499081/4901000000 |
j-invariant |
L |
16.43629593985 |
L(r)(E,1)/r! |
Ω |
0.23902371949718 |
Real period |
R |
0.95505955768076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3770b2 |
Quadratic twists by: 29 |