Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120fd |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-5.3881439697979E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,43367973,-3529939331446] |
[a1,a2,a3,a4,a6] |
j |
1281177907381/765275040000 |
j-invariant |
L |
2.56741882014 |
L(r)(E,1)/r! |
Ω |
0.020057959956644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890bx2 29040bu2 87120fc2 |
Quadratic twists by: -4 -3 -11 |