Atkin-Lehner |
3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585m |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-143663203125 = -1 · 33 · 57 · 133 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 3 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9754,-372019] |
[a1,a2,a3,a4,a6] |
Generators |
[4863:49646:27] |
Generators of the group modulo torsion |
j |
-46706562254197/65390625 |
j-invariant |
L |
9.1996493951927 |
L(r)(E,1)/r! |
Ω |
0.24018327138206 |
Real period |
R |
6.3837705698339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78585x1 |
Quadratic twists by: 13 |