Atkin-Lehner |
3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
67725r |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
42353722721953125 = 37 · 57 · 78 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-785255,267846122] |
[a1,a2,a3,a4,a6] |
Generators |
[4382:8655:8] |
Generators of the group modulo torsion |
j |
4701189640361761/3718296645 |
j-invariant |
L |
3.7597029163427 |
L(r)(E,1)/r! |
Ω |
0.35863086753603 |
Real period |
R |
5.2417447254637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22575k4 13545f3 |
Quadratic twists by: -3 5 |