Atkin-Lehner |
5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29575a |
Isogeny class |
Conductor |
29575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1884784068248046875 = 59 · 7 · 1310 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19731542,-33730697259] |
[a1,a2,a3,a4,a6] |
Generators |
[-4418285048408987228439030:2241599420705581633759817:1721023968652447887000] |
Generators of the group modulo torsion |
j |
11264882429818809/24990875 |
j-invariant |
L |
5.4370662748661 |
L(r)(E,1)/r! |
Ω |
0.071632375707195 |
Real period |
R |
37.951179345849 |
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 |
5915k3 2275d3 |
Quadratic twists by: 5 13 |