Atkin-Lehner |
2- 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456bi |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
17441132544 = 212 · 38 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2091,36250] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:216:1] [-25:270:1] |
Generators of the group modulo torsion |
j |
338608873/5841 |
j-invariant |
L |
9.1962525772902 |
L(r)(E,1)/r! |
Ω |
1.232216470534 |
Real period |
R |
1.865794849587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5841i1 31152bc1 |
Quadratic twists by: -4 -3 |