Atkin-Lehner |
2+ 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170m |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.2056212486298E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8522775,9577456875] |
[a1,a2,a3,a4,a6] |
j |
93915934081031257484401/16538014384496250 |
j-invariant |
L |
1.7496796613114 |
L(r)(E,1)/r! |
Ω |
0.21870995884493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
21390s4 |
Quadratic twists by: -3 |