Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67620bm |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
44365482000 = 24 · 39 · 53 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16970,845193] |
[a1,a2,a3,a4,a6] |
Generators |
[46:405:1] |
Generators of the group modulo torsion |
j |
689411888107264/56588625 |
j-invariant |
L |
7.4497908895921 |
L(r)(E,1)/r! |
Ω |
1.0861732370027 |
Real period |
R |
0.084675928201711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67620a1 |
Quadratic twists by: -7 |