Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760z |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-8.7226659014837E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23144544,-13498552800] |
[a1,a2,a3,a4,a6] |
Generators |
[32922:3113397:8] |
Generators of the group modulo torsion |
j |
669483113061824932757182/425911420970886035025 |
j-invariant |
L |
7.3562403991811 |
L(r)(E,1)/r! |
Ω |
0.050962618601333 |
Real period |
R |
3.0072043494304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520h3 116280x3 |
Quadratic twists by: -4 -3 |