Atkin-Lehner |
2- 3+ 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430v |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-153573027840 = -1 · 212 · 33 · 5 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-788,-20489] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-563:1] |
Generators of the group modulo torsion |
j |
-2001805180227/5687889920 |
j-invariant |
L |
7.406151689986 |
L(r)(E,1)/r! |
Ω |
0.41747807183732 |
Real period |
R |
0.73917571859554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47430d1 |
Quadratic twists by: -3 |