Atkin-Lehner |
2- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600cq |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
992000000000 = 214 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 4 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82833,9203537] |
[a1,a2,a3,a4,a6] |
Generators |
[836779608:-76704551:5000211] |
Generators of the group modulo torsion |
j |
1964215568/31 |
j-invariant |
L |
10.830565416378 |
L(r)(E,1)/r! |
Ω |
0.80460098342902 |
Real period |
R |
13.4607906769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600bh2 12400ba2 49600cr2 |
Quadratic twists by: -4 8 5 |