Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27072cd |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
177260993011777536 = 224 · 314 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-150924,-9948400] |
[a1,a2,a3,a4,a6] |
Generators |
[-70844000:-1445352460:704969] |
Generators of the group modulo torsion |
j |
1989441544033/927567936 |
j-invariant |
L |
6.234961599658 |
L(r)(E,1)/r! |
Ω |
0.25337374021333 |
Real period |
R |
12.303882782818 |
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 |
27072bc2 6768o2 9024bm2 |
Quadratic twists by: -4 8 -3 |