Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600cm |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-3912300000000 = -1 · 28 · 35 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 1 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13833,-638037] |
[a1,a2,a3,a4,a6] |
Generators |
[177:1578:1] |
Generators of the group modulo torsion |
j |
-2927549440/39123 |
j-invariant |
L |
8.6453209369535 |
L(r)(E,1)/r! |
Ω |
0.21993407930517 |
Real period |
R |
3.930869182559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96600m1 |
Quadratic twists by: 5 |