Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474m |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7660800 |
Modular degree for the optimal curve |
Δ |
-1.6075194527208E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 -5 -1 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2259612,-5958910256] |
[a1,a2,a3,a4,a6] |
j |
5423945093/68335488 |
j-invariant |
L |
0.24324032200076 |
L(r)(E,1)/r! |
Ω |
0.060810103775789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28158k1 84474cd1 |
Quadratic twists by: -3 -19 |