Atkin-Lehner |
3- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9345f |
Isogeny class |
Conductor |
9345 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
Δ |
-1.4437580108643E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,603957,28031431] |
[a1,a2,a3,a4,a6] |
Generators |
[4630:188931:8] |
Generators of the group modulo torsion |
j |
24363675327473896501079/14437580108642578125 |
j-invariant |
L |
6.6840354603025 |
L(r)(E,1)/r! |
Ω |
0.13549232201295 |
Real period |
R |
1.9732588123078 |
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 |
28035g3 46725f3 65415c3 |
Quadratic twists by: -3 5 -7 |