Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600de |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-24179327893504000 = -1 · 225 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -3 5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5352515,-4766345150] |
[a1,a2,a3,a4,a6] |
Generators |
[27489:4540928:1] |
Generators of the group modulo torsion |
j |
-5745702166029/8192 |
j-invariant |
L |
4.8065112853975 |
L(r)(E,1)/r! |
Ω |
0.049628374249662 |
Real period |
R |
4.0354193863119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450l2 78400jj2 19600df2 19600dp2 |
Quadratic twists by: -4 8 5 -7 |