Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730bl |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
1943926869558240 = 25 · 36 · 5 · 710 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42068,-2558734] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:538:1] |
Generators of the group modulo torsion |
j |
29146342729/6881760 |
j-invariant |
L |
7.0967986771214 |
L(r)(E,1)/r! |
Ω |
0.33905496409801 |
Real period |
R |
3.4885192818296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730b1 |
Quadratic twists by: -7 |