Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640bu |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5132943360000 = 218 · 32 · 54 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6241,157441] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:576:1] |
Generators of the group modulo torsion |
j |
102568953241/19580625 |
j-invariant |
L |
2.9235003575265 |
L(r)(E,1)/r! |
Ω |
0.7276410004587 |
Real period |
R |
2.0088892431405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000505 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56640t2 14160ba2 |
Quadratic twists by: -4 8 |