Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
49686v |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.4415416953937E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-111934449,-455703455787] |
[a1,a2,a3,a4,a6] |
Generators |
[-2677341597222520822:-4250085583046298629:438924018051973] |
Generators of the group modulo torsion |
j |
124318741396429/51631104 |
j-invariant |
L |
4.4363252955815 |
L(r)(E,1)/r! |
Ω |
0.046416184489641 |
Real period |
R |
23.894280326817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7098o3 49686cp3 |
Quadratic twists by: -7 13 |