Atkin-Lehner |
2- 7+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
16226b |
Isogeny class |
Conductor |
16226 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2480 |
Modular degree for the optimal curve |
Δ |
-1817312 = -1 · 25 · 72 · 19 · 61 |
Discriminant |
Eigenvalues |
2- -1 2 7+ -1 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27,73] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
-2181825073/1817312 |
j-invariant |
L |
6.6950864655802 |
L(r)(E,1)/r! |
Ω |
2.4206654548458 |
Real period |
R |
0.27658041106745 |
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 |
129808l1 113582g1 |
Quadratic twists by: -4 -7 |