Atkin-Lehner |
3- 7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54873m |
Isogeny class |
Conductor |
54873 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-95738064623019 = -1 · 314 · 73 · 13 · 672 |
Discriminant |
Eigenvalues |
0 3- 3 7- -2 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,10284,245934] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:234:1] |
Generators of the group modulo torsion |
j |
164999408648192/131327935011 |
j-invariant |
L |
6.0385254242496 |
L(r)(E,1)/r! |
Ω |
0.38660372855295 |
Real period |
R |
1.3016182070861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18291d1 |
Quadratic twists by: -3 |