Atkin-Lehner |
2+ 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850bl |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376000 |
Modular degree for the optimal curve |
Δ |
7832546574336000000 = 225 · 310 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13929417,20013049741] |
[a1,a2,a3,a4,a6] |
Generators |
[423210835:1329767644:205379] |
Generators of the group modulo torsion |
j |
26240674555395219529/687630974976 |
j-invariant |
L |
5.8204014201825 |
L(r)(E,1)/r! |
Ω |
0.21712724638356 |
Real period |
R |
13.403203630404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950ca1 4554x1 |
Quadratic twists by: -3 5 |