Atkin-Lehner |
2+ 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
4800p |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-22394880000 = -1 · 214 · 37 · 54 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 6 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-933,13437] |
[a1,a2,a3,a4,a6] |
j |
-8780800/2187 |
j-invariant |
L |
1.147841951652 |
L(r)(E,1)/r! |
Ω |
1.147841951652 |
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 |
4800ct1 600e1 14400cp1 4800ba1 |
Quadratic twists by: -4 8 -3 5 |