Atkin-Lehner |
2- 11+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
128656p |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-143337193472 = -1 · 220 · 11 · 172 · 43 |
Discriminant |
Eigenvalues |
2- -1 2 2 11+ 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1552,-29248] |
[a1,a2,a3,a4,a6] |
Generators |
[778:21658:1] |
Generators of the group modulo torsion |
j |
-100999381393/34994432 |
j-invariant |
L |
6.8423532493341 |
L(r)(E,1)/r! |
Ω |
0.37376769553458 |
Real period |
R |
4.576608225909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16082g1 |
Quadratic twists by: -4 |