Atkin-Lehner |
2- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46640q |
Isogeny class |
Conductor |
46640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
48073079296000 = 212 · 53 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 0 5- 4 11+ 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9307,-90294] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:480:1] |
Generators of the group modulo torsion |
j |
21766715750961/11736591625 |
j-invariant |
L |
6.8971684882906 |
L(r)(E,1)/r! |
Ω |
0.51766756148259 |
Real period |
R |
2.2205912962515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2915d1 |
Quadratic twists by: -4 |