Atkin-Lehner |
2- 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152bc |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-17974739828736 = -1 · 215 · 39 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -4 -2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32752,2279636] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-1488:1] [98:-144:1] |
Generators of the group modulo torsion |
j |
-948616119380593/4388364216 |
j-invariant |
L |
8.7931354181743 |
L(r)(E,1)/r! |
Ω |
0.69381403980953 |
Real period |
R |
0.17602249853794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5394h1 129456cc1 |
Quadratic twists by: -4 -3 |