Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742d |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3244032 |
Modular degree for the optimal curve |
Δ |
271285541698322448 = 24 · 39 · 11 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 4 2 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1750560,-890694352] |
[a1,a2,a3,a4,a6] |
j |
203608800387/93104 |
j-invariant |
L |
4.2001732634427 |
L(r)(E,1)/r! |
Ω |
0.13125540963076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104742bj1 4554e1 |
Quadratic twists by: -3 -23 |