Atkin-Lehner |
2+ 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240z |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1.9910341320589E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96360135520,-11513183546785900] |
[a1,a2,a3,a4,a6] |
j |
48315443030010277319103077069472962/97218463479440625 |
j-invariant |
L |
5.4840976276329 |
L(r)(E,1)/r! |
Ω |
0.0085689025561604 |
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 |
36120y4 |
Quadratic twists by: -4 |