Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400r |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
7219200 = 211 · 3 · 52 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
243890/141 |
j-invariant |
L |
7.9376194879362 |
L(r)(E,1)/r! |
Ω |
1.9972930734554 |
Real period |
R |
1.9870943311702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200q1 56400h1 |
Quadratic twists by: -4 5 |