Atkin-Lehner |
2- 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730bs |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
44079974366400000 = 29 · 34 · 55 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-306006,-64493997] |
[a1,a2,a3,a4,a6] |
Generators |
[-323:1043:1] |
Generators of the group modulo torsion |
j |
549704518270369/7646400000 |
j-invariant |
L |
7.5381765713283 |
L(r)(E,1)/r! |
Ω |
0.20315745274517 |
Real period |
R |
0.68713138772892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730cm1 |
Quadratic twists by: -7 |