Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400p |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-211500000000 = -1 · 28 · 32 · 59 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-151633,22676363] |
[a1,a2,a3,a4,a6] |
j |
-96393503896576/52875 |
j-invariant |
L |
3.2843170273128 |
L(r)(E,1)/r! |
Ω |
0.82107925778409 |
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 |
28200c1 11280e1 |
Quadratic twists by: -4 5 |