Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640bo |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
32624640000 = 215 · 33 · 54 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68001,6848001] |
[a1,a2,a3,a4,a6] |
Generators |
[-299:600:1] [101:1000:1] |
Generators of the group modulo torsion |
j |
1061270425224008/995625 |
j-invariant |
L |
7.6813982911734 |
L(r)(E,1)/r! |
Ω |
0.97810302608265 |
Real period |
R |
3.9266815899433 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640cu4 28320p4 |
Quadratic twists by: -4 8 |