Atkin-Lehner |
2- 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860n |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
7.7913451009366E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33528207,-73507896506] |
[a1,a2,a3,a4,a6] |
j |
22335064237626546184144/417488913587568375 |
j-invariant |
L |
2.2612178781126 |
L(r)(E,1)/r! |
Ω |
0.062811608102315 |
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 |
25620i2 |
Quadratic twists by: -3 |