Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730cn |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
25503413740560 = 24 · 38 · 5 · 77 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7400,-32208] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:466:1] |
Generators of the group modulo torsion |
j |
380920459249/216775440 |
j-invariant |
L |
14.279727724893 |
L(r)(E,1)/r! |
Ω |
0.55639510464113 |
Real period |
R |
3.2080907068279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006095 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390o1 |
Quadratic twists by: -7 |