Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560by |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1264896000000000 = -1 · 217 · 34 · 59 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 -1 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-131585,18407775] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:5820:1] [-245:6000:1] |
Generators of the group modulo torsion |
j |
-1922366726113538/9650390625 |
j-invariant |
L |
10.957585982778 |
L(r)(E,1)/r! |
Ω |
0.48680316529048 |
Real period |
R |
0.15631440493453 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560dd1 7320k1 |
Quadratic twists by: -4 8 |