Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408b |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
36505976832 = 216 · 34 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-831] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:69:1] |
Generators of the group modulo torsion |
j |
976562500/557037 |
j-invariant |
L |
3.9767431961054 |
L(r)(E,1)/r! |
Ω |
0.96152251696207 |
Real period |
R |
2.0679407533701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997176 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408dc2 7176e2 |
Quadratic twists by: -4 8 |