Atkin-Lehner |
2+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
81400d |
Isogeny class |
Conductor |
81400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
89540000000 = 28 · 57 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1175,-5750] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:50:1] [-9:64:1] |
Generators of the group modulo torsion |
j |
44851536/22385 |
j-invariant |
L |
9.9399063078652 |
L(r)(E,1)/r! |
Ω |
0.85875049397953 |
Real period |
R |
5.7874239244083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16280h1 |
Quadratic twists by: 5 |