Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11544g |
Isogeny class |
Conductor |
11544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2189259940608 = -1 · 28 · 33 · 132 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5788,-181916] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1036:1] |
Generators of the group modulo torsion |
j |
-83780769634000/8551796643 |
j-invariant |
L |
3.7801984106228 |
L(r)(E,1)/r! |
Ω |
0.27209981787359 |
Real period |
R |
1.7365862462553 |
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 |
23088g2 92352z2 34632c2 |
Quadratic twists by: -4 8 -3 |