Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560bu |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-182145024000 = -1 · 215 · 36 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -5 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-865,22463] |
[a1,a2,a3,a4,a6] |
Generators |
[11:120:1] [-22:177:1] |
Generators of the group modulo torsion |
j |
-2186875592/5558625 |
j-invariant |
L |
11.640112877131 |
L(r)(E,1)/r! |
Ω |
0.89460440217966 |
Real period |
R |
0.18071477628625 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560s1 29280b1 |
Quadratic twists by: -4 8 |