Atkin-Lehner |
3+ 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53475f |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-300796875 = -1 · 33 · 56 · 23 · 31 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 0 2 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8,-832] |
[a1,a2,a3,a4,a6] |
j |
-4096/19251 |
j-invariant |
L |
0.78389817087983 |
L(r)(E,1)/r! |
Ω |
0.78389817055714 |
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 |
2139d1 |
Quadratic twists by: 5 |