Atkin-Lehner |
2- 3+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
20604c |
Isogeny class |
Conductor |
20604 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-28059392238336 = -1 · 28 · 37 · 173 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 -1 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8517,-392751] |
[a1,a2,a3,a4,a6] |
Generators |
[986:5151:8] |
Generators of the group modulo torsion |
j |
-266928335945728/109607000931 |
j-invariant |
L |
3.4790608949385 |
L(r)(E,1)/r! |
Ω |
0.24357038483547 |
Real period |
R |
2.3805992788549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82416o1 61812b1 |
Quadratic twists by: -4 -3 |