Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13536l |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5409576202752 = 29 · 314 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-629715,-192337558] |
[a1,a2,a3,a4,a6] |
Generators |
[203980253290844750:11546747320298576436:59891205078125] |
Generators of the group modulo torsion |
j |
73987497479141000/14493249 |
j-invariant |
L |
4.7979042503001 |
L(r)(E,1)/r! |
Ω |
0.16947808581121 |
Real period |
R |
28.309879872285 |
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 |
13536g2 27072ci2 4512h2 |
Quadratic twists by: -4 8 -3 |