Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384ct |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
15278217117696 = 214 · 38 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6737,97455] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:540:1] |
Generators of the group modulo torsion |
j |
2064276542032/932508369 |
j-invariant |
L |
9.5158667253971 |
L(r)(E,1)/r! |
Ω |
0.62781718510753 |
Real period |
R |
1.8946332926246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000074 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72384b2 18096i2 |
Quadratic twists by: -4 8 |