Atkin-Lehner |
3- 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
84075l |
Isogeny class |
Conductor |
84075 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-19651322671875 = -1 · 310 · 56 · 192 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 6 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5462,146567] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-736:1] |
Generators of the group modulo torsion |
j |
1153330571303/1257684651 |
j-invariant |
L |
6.1143223005103 |
L(r)(E,1)/r! |
Ω |
0.45477126529265 |
Real period |
R |
0.67224149506978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3363c2 |
Quadratic twists by: 5 |