Atkin-Lehner |
2- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
47450w |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
3.5928559519506E+24 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-163719063,801112988617] |
[a1,a2,a3,a4,a6] |
Generators |
[6698:67557:1] |
Generators of the group modulo torsion |
j |
31059999008617606784101801/229942780924838477600 |
j-invariant |
L |
6.0783333602722 |
L(r)(E,1)/r! |
Ω |
0.079353756900306 |
Real period |
R |
7.6597928033922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490c2 |
Quadratic twists by: 5 |