Atkin-Lehner |
2+ 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
32648d |
Isogeny class |
Conductor |
32648 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
337270927702016 = 211 · 710 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11- 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19272,535340] |
[a1,a2,a3,a4,a6] |
j |
386541969915026/164683070167 |
j-invariant |
L |
4.8813128318414 |
L(r)(E,1)/r! |
Ω |
0.48813128318407 |
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 |
65296b2 |
Quadratic twists by: -4 |