Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600j |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-1316273068800 = -1 · 28 · 314 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 5 -3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,132,55152] |
[a1,a2,a3,a4,a6] |
j |
39443120/205667667 |
j-invariant |
L |
2.7014831246323 |
L(r)(E,1)/r! |
Ω |
0.67537078111098 |
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 |
25800be1 51600be1 |
Quadratic twists by: -4 5 |