Atkin-Lehner |
3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9945k |
Isogeny class |
Conductor |
9945 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11872927755 = 37 · 5 · 13 · 174 |
Discriminant |
Eigenvalues |
1 3- 5- -4 4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9414,353893] |
[a1,a2,a3,a4,a6] |
Generators |
[462:-85:8] |
Generators of the group modulo torsion |
j |
126574061279329/16286595 |
j-invariant |
L |
5.0613131887144 |
L(r)(E,1)/r! |
Ω |
1.2238890307584 |
Real period |
R |
4.1354347179483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3315b3 49725f4 129285w4 |
Quadratic twists by: -3 5 13 |