Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
5922f |
Isogeny class |
Conductor |
5922 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1185116259978 = 2 · 37 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13986,-630990] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:50:1] |
Generators of the group modulo torsion |
j |
415044078605857/1625673882 |
j-invariant |
L |
3.151854933477 |
L(r)(E,1)/r! |
Ω |
0.43911375025391 |
Real period |
R |
3.5888820740121 |
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 |
47376bk3 1974h4 41454r3 |
Quadratic twists by: -4 -3 -7 |