Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160cp |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33566400000000 = 212 · 34 · 58 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1790416,-922699180] |
[a1,a2,a3,a4,a6] |
Generators |
[1727:33750:1] |
Generators of the group modulo torsion |
j |
154962229997864551249/8194921875 |
j-invariant |
L |
7.322432297042 |
L(r)(E,1)/r! |
Ω |
0.13051518649362 |
Real period |
R |
3.5065039622817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999998889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3885a4 |
Quadratic twists by: -4 |