Atkin-Lehner |
2- 5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75850p |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-6189546894400000000 = -1 · 212 · 58 · 372 · 414 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -4 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,384162,77028292] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:4694:1] [-92:6442:1] |
Generators of the group modulo torsion |
j |
401279364103716071/396131001241600 |
j-invariant |
L |
9.9765426238677 |
L(r)(E,1)/r! |
Ω |
0.15700551369791 |
Real period |
R |
0.66190235331268 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170a2 |
Quadratic twists by: 5 |