Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169bp |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
3387847545621 = 39 · 77 · 11 · 19 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 11- 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-509943,140162062] |
[a1,a2,a3,a4,a6] |
Generators |
[406:-221:1] |
Generators of the group modulo torsion |
j |
170990840664064/39501 |
j-invariant |
L |
3.1278207197965 |
L(r)(E,1)/r! |
Ω |
0.63091114557267 |
Real period |
R |
0.30985154796122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30723j1 13167l1 |
Quadratic twists by: -3 -7 |