Atkin-Lehner |
2- 3- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16302s |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-1549521532416 = -1 · 29 · 3 · 11 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 11+ 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21030,-1177116] |
[a1,a2,a3,a4,a6] |
Generators |
[4692:15230:27] |
Generators of the group modulo torsion |
j |
-1028591238942753121/1549521532416 |
j-invariant |
L |
8.4231574097176 |
L(r)(E,1)/r! |
Ω |
0.19820765165582 |
Real period |
R |
2.3609239376961 |
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 |
48906p1 |
Quadratic twists by: -3 |