Atkin-Lehner |
3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47937c |
Isogeny class |
Conductor |
47937 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-667350723352851 = -1 · 310 · 19 · 296 |
Discriminant |
Eigenvalues |
2 3+ 1 3 3 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,16540,-940651] |
[a1,a2,a3,a4,a6] |
j |
841232384/1121931 |
j-invariant |
L |
4.3564838785615 |
L(r)(E,1)/r! |
Ω |
0.27228024241688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57c1 |
Quadratic twists by: 29 |