Atkin-Lehner |
2- 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310cb |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
8257536 |
Modular degree for the optimal curve |
Δ |
-1.6579951077681E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19739093,39033120557] |
[a1,a2,a3,a4,a6] |
j |
-1166749820684838378998281/227434171161600000000 |
j-invariant |
L |
3.1307007673076 |
L(r)(E,1)/r! |
Ω |
0.097834398976474 |
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 |
16770l1 |
Quadratic twists by: -3 |