Atkin-Lehner |
2+ 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960b |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-23783362560 = -1 · 212 · 39 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 2 5 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,-13824] |
[a1,a2,a3,a4,a6] |
j |
-1259712/295 |
j-invariant |
L |
3.3781988182853 |
L(r)(E,1)/r! |
Ω |
0.42227485162792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960e1 84960ba1 |
Quadratic twists by: -4 -3 |