Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bd |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1611162671128772608 = -1 · 230 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28556,61098224] |
[a1,a2,a3,a4,a6] |
Generators |
[9284:894432:1] |
Generators of the group modulo torsion |
j |
-5545233/3469312 |
j-invariant |
L |
4.208556745242 |
L(r)(E,1)/r! |
Ω |
0.2159749938667 |
Real period |
R |
4.8715787299295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208bw1 1694d1 4928h1 |
Quadratic twists by: -4 8 -11 |