Atkin-Lehner |
3- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725ca |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1.3170761477582E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1390813,-606812008] |
[a1,a2,a3,a4,a6] |
Generators |
[-739:4559:1] |
Generators of the group modulo torsion |
j |
19041884642618255881/842928734565225 |
j-invariant |
L |
5.3905202692793 |
L(r)(E,1)/r! |
Ω |
0.13940219766401 |
Real period |
R |
0.80560068229105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005253 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21945j2 |
Quadratic twists by: 5 |