Atkin-Lehner |
2- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85196c |
Isogeny class |
Conductor |
85196 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1754460 |
Modular degree for the optimal curve |
Δ |
-3.2235321778199E+20 |
Discriminant |
Eigenvalues |
2- 1 2 0 -4 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,347523,860330975] |
[a1,a2,a3,a4,a6] |
j |
2957312/205379 |
j-invariant |
L |
1.1786468565449 |
L(r)(E,1)/r! |
Ω |
0.1309607719012 |
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 |
85196a1 |
Quadratic twists by: -19 |