Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290cm |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-12706470 = -1 · 2 · 37 · 5 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,58,-21] |
[a1,a2,a3,a4,a6] |
Generators |
[116:513:64] |
Generators of the group modulo torsion |
j |
30080231/17430 |
j-invariant |
L |
10.153965111644 |
L(r)(E,1)/r! |
Ω |
1.3354144698552 |
Real period |
R |
3.8018028637532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430e1 |
Quadratic twists by: -3 |