Atkin-Lehner |
2+ 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
47400g |
Isogeny class |
Conductor |
47400 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-1.2577014681552E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -5 5 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-587608,-243447712] |
[a1,a2,a3,a4,a6] |
j |
-1402386001982788/786063417597 |
j-invariant |
L |
4.3697514468744 |
L(r)(E,1)/r! |
Ω |
0.084033681675363 |
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 |
94800f1 1896b1 |
Quadratic twists by: -4 5 |