Atkin-Lehner |
7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
86989d |
Isogeny class |
Conductor |
86989 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
695952 |
Modular degree for the optimal curve |
Δ |
927225932975461 = 79 · 172 · 433 |
Discriminant |
Eigenvalues |
-1 0 -1 7- 3 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-868593,311795708] |
[a1,a2,a3,a4,a6] |
Generators |
[544:-493:1] [201:11953:1] |
Generators of the group modulo torsion |
j |
250769304696544447041/3208394231749 |
j-invariant |
L |
6.4766301852369 |
L(r)(E,1)/r! |
Ω |
0.45234813796109 |
Real period |
R |
1.5908666705512 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86989b1 |
Quadratic twists by: 17 |