Atkin-Lehner |
2+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
112832c |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-112832 = -1 · 26 · 41 · 43 |
Discriminant |
Eigenvalues |
2+ 1 0 3 2 -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,17] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:89:27] |
Generators of the group modulo torsion |
j |
512000/1763 |
j-invariant |
L |
8.3781533244162 |
L(r)(E,1)/r! |
Ω |
2.3609611292481 |
Real period |
R |
3.5486197409104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832bc1 1763c1 |
Quadratic twists by: -4 8 |