Atkin-Lehner |
2- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
16432i |
Isogeny class |
Conductor |
16432 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-19438414755528704 = -1 · 223 · 135 · 792 |
Discriminant |
Eigenvalues |
2- 1 3 1 0 13- -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43784,7563764] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:3328:1] |
Generators of the group modulo torsion |
j |
-2266313514323977/4745706727424 |
j-invariant |
L |
7.3197573078678 |
L(r)(E,1)/r! |
Ω |
0.34290562752632 |
Real period |
R |
0.53365683735431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2054c1 65728n1 |
Quadratic twists by: -4 8 |