Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11322z |
Isogeny class |
Conductor |
11322 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-264119616 = -1 · 26 · 38 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 1 3 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14234,657177] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-63:1] |
Generators of the group modulo torsion |
j |
-437470189073497/362304 |
j-invariant |
L |
6.188353940735 |
L(r)(E,1)/r! |
Ω |
1.4547271547733 |
Real period |
R |
0.17724841391591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90576cb1 3774e1 |
Quadratic twists by: -4 -3 |