Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190bl |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
1134 |
Product of Tamagawa factors cp |
Δ |
-2.1178240718632E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,32059597,4539299987] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:45538:1] |
Generators of the group modulo torsion |
j |
4998853083179567995470359/2905108466204672000000 |
j-invariant |
L |
6.3311179802557 |
L(r)(E,1)/r! |
Ω |
0.049687628279901 |
Real period |
R |
1.0112571244942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
65520ct2 910e2 40950u2 57330ey2 |
Quadratic twists by: -4 -3 5 -7 |