Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800q |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1068000000 = -1 · 28 · 3 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -2 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,1563] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:225:8] |
Generators of the group modulo torsion |
j |
-1024/267 |
j-invariant |
L |
7.0694397245829 |
L(r)(E,1)/r! |
Ω |
1.2647168909006 |
Real period |
R |
2.7948704583931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999594952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53400a1 4272b1 |
Quadratic twists by: -4 5 |