Atkin-Lehner |
2- 3- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
83448l |
Isogeny class |
Conductor |
83448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4997120 |
Modular degree for the optimal curve |
Δ |
-2211348765940030512 = -1 · 24 · 37 · 198 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -6 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23848734,44827721093] |
[a1,a2,a3,a4,a6] |
j |
-128609245409850431629312/189587514226683 |
j-invariant |
L |
1.7688526614271 |
L(r)(E,1)/r! |
Ω |
0.22110657368981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27816b1 |
Quadratic twists by: -3 |