Atkin-Lehner |
2- 3- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
85140r |
Isogeny class |
Conductor |
85140 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1241341200 = 24 · 38 · 52 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ -6 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1137,-14659] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:9:1] |
Generators of the group modulo torsion |
j |
13936624384/106425 |
j-invariant |
L |
4.6544944268641 |
L(r)(E,1)/r! |
Ω |
0.82254448150416 |
Real period |
R |
1.4146634415188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28380b1 |
Quadratic twists by: -3 |