Atkin-Lehner |
29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
59711a |
Isogeny class |
Conductor |
59711 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
235200 |
Modular degree for the optimal curve |
Δ |
-1224741217939 = -1 · 297 · 71 |
Discriminant |
Eigenvalues |
2 2 -1 0 4 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-30556,2066765] |
[a1,a2,a3,a4,a6] |
j |
-5304438784/2059 |
j-invariant |
L |
6.7869252474942 |
L(r)(E,1)/r! |
Ω |
0.84836565622859 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2059a1 |
Quadratic twists by: 29 |