Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
49686cq |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
-4850702807302091376 = -1 · 24 · 35 · 76 · 139 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,401456,40702241] |
[a1,a2,a3,a4,a6] |
j |
5735339/3888 |
j-invariant |
L |
0.61319638731133 |
L(r)(E,1)/r! |
Ω |
0.15329909682563 |
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 |
1014g1 49686w1 |
Quadratic twists by: -7 13 |