Atkin-Lehner |
2- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128516d |
Isogeny class |
Conductor |
128516 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
81000 |
Modular degree for the optimal curve |
Δ |
-1071893352704 = -1 · 28 · 196 · 89 |
Discriminant |
Eigenvalues |
2- 1 -1 0 0 4 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1324,46676] |
[a1,a2,a3,a4,a6] |
Generators |
[2887489:45171352:12167] |
Generators of the group modulo torsion |
j |
21296/89 |
j-invariant |
L |
7.3890451176065 |
L(r)(E,1)/r! |
Ω |
0.62370105943535 |
Real period |
R |
11.847094097626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999698025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
356a1 |
Quadratic twists by: -19 |