Atkin-Lehner |
2+ 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376g |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-11279541869568 = -1 · 210 · 314 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 6 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4965,-89318] |
[a1,a2,a3,a4,a6] |
j |
18132345500/15109983 |
j-invariant |
L |
3.1743088959409 |
L(r)(E,1)/r! |
Ω |
0.3967886120045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23688j1 15792h1 |
Quadratic twists by: -4 -3 |