Atkin-Lehner |
2+ 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840n |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1755428716800 = 28 · 33 · 52 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3756,60300] |
[a1,a2,a3,a4,a6] |
j |
22896870049744/6857143425 |
j-invariant |
L |
4.6649022751074 |
L(r)(E,1)/r! |
Ω |
0.77748372176209 |
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 |
40920h1 |
Quadratic twists by: -4 |