Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368by |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4792320 |
Modular degree for the optimal curve |
Δ |
-1.974723661519E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59896236,-178421720272] |
[a1,a2,a3,a4,a6] |
Generators |
[28477296106:2651727108096:2048383] |
Generators of the group modulo torsion |
j |
-124352595912593543977/103332962304 |
j-invariant |
L |
8.1256580103668 |
L(r)(E,1)/r! |
Ω |
0.027134364492966 |
Real period |
R |
12.477501872323 |
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 |
82368du1 2574v1 27456e1 |
Quadratic twists by: -4 8 -3 |