Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506b |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9072000 |
Modular degree for the optimal curve |
Δ |
-9.583853241997E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 11+ 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-182791367,951146456277] |
[a1,a2,a3,a4,a6] |
Generators |
[6600013:729050783:343] |
Generators of the group modulo torsion |
j |
-1135540872025530818401/1611210069216 |
j-invariant |
L |
4.7569050700189 |
L(r)(E,1)/r! |
Ω |
0.13313555032928 |
Real period |
R |
8.9324471530615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914p1 |
Quadratic twists by: 29 |