Atkin-Lehner |
2- 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19188q |
Isogeny class |
Conductor |
19188 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-255309925104 = -1 · 24 · 311 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 -2 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,987,-21179] |
[a1,a2,a3,a4,a6] |
Generators |
[101:-1053:1] [36:247:1] |
Generators of the group modulo torsion |
j |
9116489984/21888711 |
j-invariant |
L |
6.3110984503151 |
L(r)(E,1)/r! |
Ω |
0.50878917272649 |
Real period |
R |
0.3445597895629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752cg1 6396g1 |
Quadratic twists by: -4 -3 |