Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104j |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25200958464 = 210 · 38 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6051,181010] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:594:1] [19:270:1] |
Generators of the group modulo torsion |
j |
32822955652/33759 |
j-invariant |
L |
8.3083135193958 |
L(r)(E,1)/r! |
Ω |
1.187811999828 |
Real period |
R |
1.7486591987198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24552h2 16368d2 |
Quadratic twists by: -4 -3 |