Atkin-Lehner |
2- 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376x |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.4006048719777E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8000184,-6593242284] |
[a1,a2,a3,a4,a6] |
j |
13824955606018417112377/3419445488226729984 |
j-invariant |
L |
2.9245761225123 |
L(r)(E,1)/r! |
Ω |
0.091393003828897 |
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 |
4422c2 106128bx2 |
Quadratic twists by: -4 -3 |