Atkin-Lehner |
2- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9460b |
Isogeny class |
Conductor |
9460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
2956250000 = 24 · 58 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 11- -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6666,-207259] |
[a1,a2,a3,a4,a6] |
Generators |
[-231557:5625:4913] |
Generators of the group modulo torsion |
j |
2047692815359744/184765625 |
j-invariant |
L |
4.9998726400303 |
L(r)(E,1)/r! |
Ω |
0.52836026533771 |
Real period |
R |
4.7314994787076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37840m1 85140o1 47300n1 104060f1 |
Quadratic twists by: -4 -3 5 -11 |