Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730ci |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
8025074190362880 = 28 · 37 · 5 · 77 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-62721,4234761] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-1773:1] |
Generators of the group modulo torsion |
j |
231939558789121/68212005120 |
j-invariant |
L |
9.7914683517643 |
L(r)(E,1)/r! |
Ω |
0.38563035302315 |
Real period |
R |
0.22670369112075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390r1 |
Quadratic twists by: -7 |