Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112800bb |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-45120000000 = -1 · 212 · 3 · 57 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -6 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2033,36063] |
[a1,a2,a3,a4,a6] |
Generators |
[18:75:1] |
Generators of the group modulo torsion |
j |
-14526784/705 |
j-invariant |
L |
8.0892645772544 |
L(r)(E,1)/r! |
Ω |
1.1247687613968 |
Real period |
R |
1.7979839207732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999838512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112800e1 22560k1 |
Quadratic twists by: -4 5 |