Atkin-Lehner |
2- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120bm |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-2.83669375E+22 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11+ 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7078415,-3624857775] |
[a1,a2,a3,a4,a6] |
j |
2393931808483113851696/1731380462646484375 |
j-invariant |
L |
2.3907266687731 |
L(r)(E,1)/r! |
Ω |
0.066409096645439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120o2 27280e2 |
Quadratic twists by: -4 8 |