Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ft |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
29491200 |
Modular degree for the optimal curve |
Δ |
5.0906528463371E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43211505,-13036035825] |
[a1,a2,a3,a4,a6] |
j |
544630502003833879075024/310708791890691829425 |
j-invariant |
L |
2.2940345769462 |
L(r)(E,1)/r! |
Ω |
0.0637231824139 |
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 |
127680bp1 31920c1 |
Quadratic twists by: -4 8 |