Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688cp |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
949146967867392 = 218 · 34 · 73 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30648,1427796] |
[a1,a2,a3,a4,a6] |
j |
2266158235375/675584064 |
j-invariant |
L |
3.6826299086664 |
L(r)(E,1)/r! |
Ω |
0.46032873860229 |
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 |
5586g2 44688cg2 |
Quadratic twists by: -4 -7 |