Atkin-Lehner |
3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59241c |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
2662825806815811273 = 32 · 711 · 136 · 31 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -2 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-639524,180248643] |
[a1,a2,a3,a4,a6] |
j |
245870868312885817/22633645902777 |
j-invariant |
L |
0.99680272394839 |
L(r)(E,1)/r! |
Ω |
0.24920068226893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463h1 |
Quadratic twists by: -7 |