Atkin-Lehner |
2+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55744f |
Isogeny class |
Conductor |
55744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-122469568 = -1 · 26 · 134 · 67 |
Discriminant |
Eigenvalues |
2+ -2 -2 2 0 13- -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169,945] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:43:1] [8:13:1] |
Generators of the group modulo torsion |
j |
-8390176768/1913587 |
j-invariant |
L |
6.904167912661 |
L(r)(E,1)/r! |
Ω |
1.776283300234 |
Real period |
R |
0.97171547913433 |
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 |
55744j1 871a1 |
Quadratic twists by: -4 8 |