Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170ce |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
5.2760280374968E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1973035,-1008013903] |
[a1,a2,a3,a4,a6] |
Generators |
[2174:-71647:1] |
Generators of the group modulo torsion |
j |
7220044159551112609/448454983680000 |
j-invariant |
L |
9.2790240292464 |
L(r)(E,1)/r! |
Ω |
0.12787982847812 |
Real period |
R |
0.25914463545509 |
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 |
129360fn1 48510y1 80850h1 330d1 |
Quadratic twists by: -4 -3 5 -7 |