Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792ct |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1213632 = -1 · 26 · 32 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30720053,65525930649] |
[a1,a2,a3,a4,a6] |
Generators |
[-4208:346845:1] [25610:1239:8] |
Generators of the group modulo torsion |
j |
-50096759460260217094144000/18963 |
j-invariant |
L |
11.135208344173 |
L(r)(E,1)/r! |
Ω |
0.50342864571985 |
Real period |
R |
5.5296856009698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999998300542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792q3 14448k3 |
Quadratic twists by: -4 8 |