Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9633m |
Isogeny class |
Conductor |
9633 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15682302441 = 32 · 136 · 192 |
Discriminant |
Eigenvalues |
-1 3- 2 0 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1102,12635] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:164:1] |
Generators of the group modulo torsion |
j |
30664297/3249 |
j-invariant |
L |
3.8370889134556 |
L(r)(E,1)/r! |
Ω |
1.2040347667811 |
Real period |
R |
3.1868589008553 |
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 |
28899k2 57b1 |
Quadratic twists by: -3 13 |