Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560co |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
829898265600 = 210 · 312 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4941,-124659] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:75:1] |
Generators of the group modulo torsion |
j |
13030353872896/810447525 |
j-invariant |
L |
3.4110611163001 |
L(r)(E,1)/r! |
Ω |
0.57164590239206 |
Real period |
R |
2.9835437479501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560bh1 14640o1 |
Quadratic twists by: -4 8 |