Atkin-Lehner |
2- 3+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73644d |
Isogeny class |
Conductor |
73644 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4567106304 = 28 · 32 · 172 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 2 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-804,8424] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:114:1] |
Generators of the group modulo torsion |
j |
32774128/2601 |
j-invariant |
L |
4.3363389351098 |
L(r)(E,1)/r! |
Ω |
1.3449557238727 |
Real period |
R |
0.53735832565198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73644n2 |
Quadratic twists by: -19 |