Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474cd |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-341691858787968 = -1 · 27 · 311 · 133 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 -5 -1 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6259,867125] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:282:1] [33:-1070:1] |
Generators of the group modulo torsion |
j |
5423945093/68335488 |
j-invariant |
L |
12.73528348077 |
L(r)(E,1)/r! |
Ω |
0.3992237785468 |
Real period |
R |
0.18988162250795 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28158i1 84474m1 |
Quadratic twists by: -3 -19 |