Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46644n |
Isogeny class |
Conductor |
46644 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
4779931030992 = 24 · 32 · 137 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-387573,-92999880] |
[a1,a2,a3,a4,a6] |
Generators |
[-11572702746:218502973:32157432] |
Generators of the group modulo torsion |
j |
83369132032000/61893 |
j-invariant |
L |
8.7497904256561 |
L(r)(E,1)/r! |
Ω |
0.19134234932955 |
Real period |
R |
11.432114291898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588f1 |
Quadratic twists by: 13 |