Atkin-Lehner |
2- 3+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240by |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.7854694540398E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27799800,-61858914768] |
[a1,a2,a3,a4,a6] |
j |
-580081204948451795278201/68004625342769496045 |
j-invariant |
L |
2.0902037735982 |
L(r)(E,1)/r! |
Ω |
0.032659433886989 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4515h4 |
Quadratic twists by: -4 |