Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200ba |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
3918464000000 = 213 · 56 · 113 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 11+ 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4608,-75212] |
[a1,a2,a3,a4,a6] |
j |
169112377/61226 |
j-invariant |
L |
2.3877499888416 |
L(r)(E,1)/r! |
Ω |
0.5969374723092 |
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 |
12650v1 4048g1 |
Quadratic twists by: -4 5 |