Atkin-Lehner |
43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
86903c |
Isogeny class |
Conductor |
86903 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4478880 |
Modular degree for the optimal curve |
Δ |
5.7034688818804E+19 |
Discriminant |
Eigenvalues |
1 -3 3 -1 0 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3344263,-2324910152] |
[a1,a2,a3,a4,a6] |
Generators |
[-6862116:33137690:6859] |
Generators of the group modulo torsion |
j |
353897432937/4879681 |
j-invariant |
L |
5.8193298541976 |
L(r)(E,1)/r! |
Ω |
0.11173440329008 |
Real period |
R |
8.6803015169917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999861205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86903f1 |
Quadratic twists by: -43 |