Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12144x |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
332813391888384 = 227 · 34 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 11- 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5587752,5085842544] |
[a1,a2,a3,a4,a6] |
Generators |
[1362:198:1] |
Generators of the group modulo torsion |
j |
4710588959856854135593/81253269504 |
j-invariant |
L |
3.2791833863843 |
L(r)(E,1)/r! |
Ω |
0.38731907415178 |
Real period |
R |
0.70553014409926 |
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 |
1518h2 48576cz2 36432bt2 |
Quadratic twists by: -4 8 -3 |