Atkin-Lehner |
2- 3- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19458p |
Isogeny class |
Conductor |
19458 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
40890286512 = 24 · 37 · 232 · 472 |
Discriminant |
Eigenvalues |
2- 3- -4 2 4 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5089532,4420688015] |
[a1,a2,a3,a4,a6] |
Generators |
[1323:607:1] |
Generators of the group modulo torsion |
j |
19999984160254936178809/56090928 |
j-invariant |
L |
6.7316027845037 |
L(r)(E,1)/r! |
Ω |
0.53603444125911 |
Real period |
R |
0.78488459257062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486k2 |
Quadratic twists by: -3 |