Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640ea |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-433200 = -1 · 24 · 3 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 -3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25,50] |
[a1,a2,a3,a4,a6] |
Generators |
[10:30:1] |
Generators of the group modulo torsion |
j |
-311296/75 |
j-invariant |
L |
9.1905245400749 |
L(r)(E,1)/r! |
Ω |
2.8385436699939 |
Real period |
R |
1.6188802448152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660o1 86640ch1 |
Quadratic twists by: -4 -19 |