Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850by |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-78711750000 = -1 · 24 · 34 · 56 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3888,-94608] |
[a1,a2,a3,a4,a6] |
j |
-415996269625/5037552 |
j-invariant |
L |
4.8333054153953 |
L(r)(E,1)/r! |
Ω |
0.30208158845684 |
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 |
1794a1 |
Quadratic twists by: 5 |