Atkin-Lehner |
3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96387j |
Isogeny class |
Conductor |
96387 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1166400 |
Modular degree for the optimal curve |
Δ |
-565280114029181073 = -1 · 39 · 199 · 89 |
Discriminant |
Eigenvalues |
-1 3- -2 -1 5 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,192586,-15805227] |
[a1,a2,a3,a4,a6] |
Generators |
[676:20239:1] |
Generators of the group modulo torsion |
j |
16790982323543/12015507033 |
j-invariant |
L |
4.2485862508143 |
L(r)(E,1)/r! |
Ω |
0.1638916336172 |
Real period |
R |
0.72008730696134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999711853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5073c1 |
Quadratic twists by: -19 |