Atkin-Lehner |
2- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832z |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
1242054656 = 214 · 41 · 432 |
Discriminant |
Eigenvalues |
2- 0 2 -4 -2 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284,-720] |
[a1,a2,a3,a4,a6] |
Generators |
[20:40:1] |
Generators of the group modulo torsion |
j |
154617552/75809 |
j-invariant |
L |
6.4740841944127 |
L(r)(E,1)/r! |
Ω |
1.2223589474175 |
Real period |
R |
2.6481927248059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112832b1 28208a1 |
Quadratic twists by: -4 8 |