Atkin-Lehner |
3- 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51471k |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
3764743353 = 37 · 72 · 19 · 432 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-914,-9984] |
[a1,a2,a3,a4,a6] |
Generators |
[78:584:1] |
Generators of the group modulo torsion |
j |
115714886617/5164257 |
j-invariant |
L |
4.656752958313 |
L(r)(E,1)/r! |
Ω |
0.87075782939424 |
Real period |
R |
2.6739655970623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17157c1 |
Quadratic twists by: -3 |