Atkin-Lehner |
2- 5- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
56650ba |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
168064 |
Modular degree for the optimal curve |
Δ |
-104547221504000 = -1 · 226 · 53 · 112 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- -2 11+ 2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7453,-553869] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-12:1] [375:6852:1] |
Generators of the group modulo torsion |
j |
-366277890882149/836377772032 |
j-invariant |
L |
11.582265816602 |
L(r)(E,1)/r! |
Ω |
0.24017174003511 |
Real period |
R |
0.4637012686341 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56650i1 |
Quadratic twists by: 5 |