Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790bp |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-29201648878080 = -1 · 29 · 36 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7635,-42715] |
[a1,a2,a3,a4,a6] |
j |
573856191/340480 |
j-invariant |
L |
1.5510666040735 |
L(r)(E,1)/r! |
Ω |
0.38776665942996 |
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 |
9310t1 11970z1 |
Quadratic twists by: -3 -7 |