Atkin-Lehner |
2+ 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73206c |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
206702704656 = 24 · 33 · 78 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1626,-12188] |
[a1,a2,a3,a4,a6] |
Generators |
[72:454:1] |
Generators of the group modulo torsion |
j |
149721291/65072 |
j-invariant |
L |
5.9036180659898 |
L(r)(E,1)/r! |
Ω |
0.7822115749105 |
Real period |
R |
1.8868354338013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001537 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73206bc1 10458a1 |
Quadratic twists by: -3 -7 |