Atkin-Lehner |
5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19475a |
Isogeny class |
Conductor |
19475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-14315914569921875 = -1 · 58 · 197 · 41 |
Discriminant |
Eigenvalues |
0 3 5+ 0 6 -3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,54800,-2959469] |
[a1,a2,a3,a4,a6] |
j |
1164783906717696/916218532475 |
j-invariant |
L |
3.5212673102543 |
L(r)(E,1)/r! |
Ω |
0.22007920689089 |
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 |
3895a1 |
Quadratic twists by: 5 |