Atkin-Lehner |
2- 3- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20178n |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3786808475294241984 = -1 · 26 · 310 · 198 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38669,-93661707] |
[a1,a2,a3,a4,a6] |
Generators |
[789:18750:1] |
Generators of the group modulo torsion |
j |
-8771512327251337/5194524657468096 |
j-invariant |
L |
8.626362278129 |
L(r)(E,1)/r! |
Ω |
0.11178044743273 |
Real period |
R |
6.4310310048638 |
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 |
6726a4 |
Quadratic twists by: -3 |