Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128440q |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-644753561878400000 = -1 · 210 · 55 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -4 13+ -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,175704,-26188096] |
[a1,a2,a3,a4,a6] |
Generators |
[16880:17576:125] |
Generators of the group modulo torsion |
j |
121368536636/130446875 |
j-invariant |
L |
4.8178698610729 |
L(r)(E,1)/r! |
Ω |
0.15582274193568 |
Real period |
R |
3.8648641580798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9880h1 |
Quadratic twists by: 13 |