Atkin-Lehner |
3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775bb |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
4818717885673828125 = 37 · 510 · 11 · 295 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1858125,969163281] |
[a1,a2,a3,a4,a6] |
Generators |
[6898:22703:8] |
Generators of the group modulo torsion |
j |
99660008550400/676867917 |
j-invariant |
L |
12.355612131895 |
L(r)(E,1)/r! |
Ω |
0.24489677202712 |
Real period |
R |
2.5226163717371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925w2 71775bu1 |
Quadratic twists by: -3 5 |