Atkin-Lehner |
2- 7+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
124432d |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
18549327104 = 28 · 72 · 114 · 101 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 11+ -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4304,-108484] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:14:1] [109:847:1] |
Generators of the group modulo torsion |
j |
34442965352448/72458309 |
j-invariant |
L |
8.2161153892189 |
L(r)(E,1)/r! |
Ω |
0.58950348945486 |
Real period |
R |
1.7421685228993 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31108f1 |
Quadratic twists by: -4 |