Atkin-Lehner |
2+ 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328r |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1.4155755969584E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20328129,-30285515169] |
[a1,a2,a3,a4,a6] |
j |
28350845980452046037384/4319993887202162403 |
j-invariant |
L |
2.0111949429334 |
L(r)(E,1)/r! |
Ω |
0.071828383156959 |
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 |
107328c4 53664k3 |
Quadratic twists by: -4 8 |