Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
80592w |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
1037787697152 = 212 · 38 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159528,24471540] |
[a1,a2,a3,a4,a6] |
Generators |
[-345:6210:1] [222:216:1] |
Generators of the group modulo torsion |
j |
109616832370851625/253366137 |
j-invariant |
L |
11.745310881618 |
L(r)(E,1)/r! |
Ω |
0.75604047343118 |
Real period |
R |
0.97095586268629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037b1 |
Quadratic twists by: -4 |