Atkin-Lehner |
7- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
54439a |
Isogeny class |
Conductor |
54439 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
35215178313913829 = 710 · 112 · 1013 |
Discriminant |
Eigenvalues |
0 0 1 7- 11+ 1 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-126812,-14852672] |
[a1,a2,a3,a4,a6] |
j |
1916975348711424/299324076821 |
j-invariant |
L |
1.0226174817737 |
L(r)(E,1)/r! |
Ω |
0.25565437040824 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7777a1 |
Quadratic twists by: -7 |