Atkin-Lehner |
2- 3- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57276a |
Isogeny class |
Conductor |
57276 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
144384 |
Modular degree for the optimal curve |
Δ |
-72079113247488 = -1 · 28 · 314 · 372 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 4 3 5 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2136,-410236] |
[a1,a2,a3,a4,a6] |
j |
-5775106048/386226387 |
j-invariant |
L |
3.2486801876873 |
L(r)(E,1)/r! |
Ω |
0.2707233487891 |
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 |
19092a1 |
Quadratic twists by: -3 |