Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288c |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9.7351978253336E+24 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53508675,12721583378] |
[a1,a2,a3,a4,a6] |
j |
22697018834878615562500/13041192217150005597 |
j-invariant |
L |
0.49624079882305 |
L(r)(E,1)/r! |
Ω |
0.062030099885821 |
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 |
27144i2 18096c2 |
Quadratic twists by: -4 -3 |