Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800bw |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-477144000 = -1 · 26 · 33 · 53 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,102,-1008] |
[a1,a2,a3,a4,a6] |
Generators |
[8:16:1] |
Generators of the group modulo torsion |
j |
14526784/59643 |
j-invariant |
L |
4.0980780382203 |
L(r)(E,1)/r! |
Ω |
0.84114126329844 |
Real period |
R |
2.4360224760961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999811777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112800bh1 112800bi1 |
Quadratic twists by: -4 5 |