Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474cb |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
22394880 |
Modular degree for the optimal curve |
Δ |
-7.3869303870621E+24 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 6 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,42067984,77899622739] |
[a1,a2,a3,a4,a6] |
j |
240065464752030527/215384711233536 |
j-invariant |
L |
6.9817107381802 |
L(r)(E,1)/r! |
Ω |
0.04848410224642 |
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 |
28158c1 4446j1 |
Quadratic twists by: -3 -19 |