Atkin-Lehner |
2+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
472b |
Isogeny class |
Conductor |
472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-15104 = -1 · 28 · 59 |
Discriminant |
Eigenvalues |
2+ -1 -1 1 4 2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-276,-1676] |
[a1,a2,a3,a4,a6] |
j |
-9115564624/59 |
j-invariant |
L |
1.1709573232901 |
L(r)(E,1)/r! |
Ω |
0.58547866164507 |
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 |
944b1 3776b1 4248g1 11800f1 |
Quadratic twists by: -4 8 -3 5 |