Atkin-Lehner |
3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18135u |
Isogeny class |
Conductor |
18135 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
19605544934625 = 311 · 53 · 134 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45198032,-116946017494] |
[a1,a2,a3,a4,a6] |
Generators |
[2717253:49655542:343] |
Generators of the group modulo torsion |
j |
14007310336277804358074809/26893751625 |
j-invariant |
L |
2.9805254799052 |
L(r)(E,1)/r! |
Ω |
0.058226364412588 |
Real period |
R |
8.5314316231546 |
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 |
6045j4 90675ba4 |
Quadratic twists by: -3 5 |