Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984cj |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5253120 |
Modular degree for the optimal curve |
Δ |
-1.1388583876972E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -2 3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56689635,-172123545886] |
[a1,a2,a3,a4,a6] |
j |
-1100553625/62208 |
j-invariant |
L |
1.7548934831864 |
L(r)(E,1)/r! |
Ω |
0.027420210680012 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6498i1 17328r1 51984bw1 |
Quadratic twists by: -4 -3 -19 |