Atkin-Lehner |
2- 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906bm |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-11227962331872 = -1 · 25 · 317 · 11 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11+ 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5386,51941] |
[a1,a2,a3,a4,a6] |
Generators |
[3:259:1] |
Generators of the group modulo torsion |
j |
23706684676583/15401868768 |
j-invariant |
L |
12.243778731793 |
L(r)(E,1)/r! |
Ω |
0.44855588033175 |
Real period |
R |
2.7295994253233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16302m1 |
Quadratic twists by: -3 |