Atkin-Lehner |
2- 3+ 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648t |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0999857586206E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9437664,11276157888] |
[a1,a2,a3,a4,a6] |
j |
-22696419226155813010657/268551210600728973 |
j-invariant |
L |
1.2442676102094 |
L(r)(E,1)/r! |
Ω |
0.15553351303294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8103e6 |
Quadratic twists by: -4 |