Atkin-Lehner |
2- 3- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
128592p |
Isogeny class |
Conductor |
128592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-250649468928 = -1 · 213 · 36 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 4 5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4251,-109366] |
[a1,a2,a3,a4,a6] |
Generators |
[581:13912:1] |
Generators of the group modulo torsion |
j |
-2845178713/83942 |
j-invariant |
L |
6.9485363854023 |
L(r)(E,1)/r! |
Ω |
0.29511546220498 |
Real period |
R |
2.9431431587609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999371626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16074g1 14288b1 |
Quadratic twists by: -4 -3 |