Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686ba |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-799761651117391872 = -1 · 216 · 34 · 74 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 1 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-629529,196955644] |
[a1,a2,a3,a4,a6] |
j |
-2380771254001/69009408 |
j-invariant |
L |
4.5111296331548 |
L(r)(E,1)/r! |
Ω |
0.28194560203832 |
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 |
49686s1 3822bb1 |
Quadratic twists by: -7 13 |