Atkin-Lehner |
5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
121835a |
Isogeny class |
Conductor |
121835 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5947200 |
Modular degree for the optimal curve |
Δ |
-7.2799485362067E+20 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 5 4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6721884,-6832886473] |
[a1,a2,a3,a4,a6] |
j |
-3877292411/84035 |
j-invariant |
L |
1.8728358033941 |
L(r)(E,1)/r! |
Ω |
0.046820887474181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121835b1 |
Quadratic twists by: -59 |