Atkin-Lehner |
3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96387n |
Isogeny class |
Conductor |
96387 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-5671366793739819 = -1 · 32 · 197 · 893 |
Discriminant |
Eigenvalues |
-1 3- 3 -2 1 1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,44576,-75013] |
[a1,a2,a3,a4,a6] |
j |
208211532983/120549699 |
j-invariant |
L |
3.0535309567066 |
L(r)(E,1)/r! |
Ω |
0.25446091428192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5073a1 |
Quadratic twists by: -19 |