Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
5922g |
Isogeny class |
Conductor |
5922 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
241759728 = 24 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15918336,-24441278256] |
[a1,a2,a3,a4,a6] |
Generators |
[-960185615090467569:480093721876647632:416882945826927] |
Generators of the group modulo torsion |
j |
611912326006384490336257/331632 |
j-invariant |
L |
3.3490707199289 |
L(r)(E,1)/r! |
Ω |
0.075583175921868 |
Real period |
R |
22.154868984275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47376bl4 1974i4 41454t4 |
Quadratic twists by: -4 -3 -7 |