Atkin-Lehner |
3+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40749d |
Isogeny class |
Conductor |
40749 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3403397229 = 3 · 176 · 47 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-217334,38907206] |
[a1,a2,a3,a4,a6] |
Generators |
[2158:-853:8] |
Generators of the group modulo torsion |
j |
47034153084673/141 |
j-invariant |
L |
1.7982429429808 |
L(r)(E,1)/r! |
Ω |
0.93374078329747 |
Real period |
R |
3.8516962633477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122247q4 141c4 |
Quadratic twists by: -3 17 |