Atkin-Lehner |
11- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98857c |
Isogeny class |
Conductor |
98857 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66640 |
Modular degree for the optimal curve |
Δ |
-27499941403 = -1 · 116 · 192 · 43 |
Discriminant |
Eigenvalues |
0 -2 -2 4 11- 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,81,-7947] |
[a1,a2,a3,a4,a6] |
Generators |
[19:28:1] |
Generators of the group modulo torsion |
j |
32768/15523 |
j-invariant |
L |
3.9158681210744 |
L(r)(E,1)/r! |
Ω |
0.55456562158367 |
Real period |
R |
3.5305723914734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999372482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
817a1 |
Quadratic twists by: -11 |