Atkin-Lehner |
7- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
86387c |
Isogeny class |
Conductor |
86387 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-207415187 = -1 · 76 · 41 · 43 |
Discriminant |
Eigenvalues |
0 -1 2 7- 2 -6 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,33,678] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:24:1] |
Generators of the group modulo torsion |
j |
32768/1763 |
j-invariant |
L |
3.726603609122 |
L(r)(E,1)/r! |
Ω |
1.3537016971615 |
Real period |
R |
0.68822466885155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1763a1 |
Quadratic twists by: -7 |