Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12144v |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
8204387368704147456 = 220 · 3 · 118 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-797381392,-8666304395840] |
[a1,a2,a3,a4,a6] |
Generators |
[20391420748041426:2262082524085092830:526926752533] |
Generators of the group modulo torsion |
j |
13688695234222145601259673233/2003024259937536 |
j-invariant |
L |
3.6359086999779 |
L(r)(E,1)/r! |
Ω |
0.028410771713106 |
Real period |
R |
21.32940243401 |
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 |
1518s4 48576dz4 36432cg4 |
Quadratic twists by: -4 8 -3 |