Atkin-Lehner |
2- 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9570x |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1592208750 = 2 · 3 · 54 · 114 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-991,11771] |
[a1,a2,a3,a4,a6] |
Generators |
[5620:46921:64] |
Generators of the group modulo torsion |
j |
107639597521009/1592208750 |
j-invariant |
L |
7.3009069478672 |
L(r)(E,1)/r! |
Ω |
1.5059630739231 |
Real period |
R |
4.8479986490294 |
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 |
76560bc4 28710t4 47850a4 105270w4 |
Quadratic twists by: -4 -3 5 -11 |