Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
47124d |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-228031789854451968 = -1 · 28 · 39 · 76 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,139185,11330982] |
[a1,a2,a3,a4,a6] |
j |
59179290714000/45254746691 |
j-invariant |
L |
1.2075107269247 |
L(r)(E,1)/r! |
Ω |
0.20125178781096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47124f2 |
Quadratic twists by: -3 |