Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560j |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3292102656000 = -1 · 218 · 33 · 53 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3199,51585] |
[a1,a2,a3,a4,a6] |
j |
13806727199/12558375 |
j-invariant |
L |
1.0386445108711 |
L(r)(E,1)/r! |
Ω |
0.51932225482674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560do1 915d1 |
Quadratic twists by: -4 8 |