Atkin-Lehner |
2- 3- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20178n |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
12191254929248256 = 212 · 38 · 194 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-208589,-36228747] |
[a1,a2,a3,a4,a6] |
Generators |
[-273:696:1] |
Generators of the group modulo torsion |
j |
1376792330401767817/16723257790464 |
j-invariant |
L |
8.626362278129 |
L(r)(E,1)/r! |
Ω |
0.22356089486545 |
Real period |
R |
3.2155155024319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6726a2 |
Quadratic twists by: -3 |