Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47124s |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
13850327372112 = 24 · 38 · 73 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12326340,16657097497] |
[a1,a2,a3,a4,a6] |
Generators |
[-2886:167909:1] |
Generators of the group modulo torsion |
j |
17757369411623974912000/1187442333 |
j-invariant |
L |
6.2470093359779 |
L(r)(E,1)/r! |
Ω |
0.38901805041222 |
Real period |
R |
5.3528016068014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
15708i3 |
Quadratic twists by: -3 |