Atkin-Lehner |
2+ 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
4800k |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-3456000000000 = -1 · 216 · 33 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3167,-58463] |
[a1,a2,a3,a4,a6] |
j |
27436/27 |
j-invariant |
L |
0.86273559702299 |
L(r)(E,1)/r! |
Ω |
0.4313677985115 |
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 |
4800ck1 600h1 14400cf1 4800bc1 |
Quadratic twists by: -4 8 -3 5 |