Atkin-Lehner |
2- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39950u |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
39950000000 = 27 · 58 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- 0 5 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5680,-163053] |
[a1,a2,a3,a4,a6] |
j |
51872478705/102272 |
j-invariant |
L |
3.8500637796327 |
L(r)(E,1)/r! |
Ω |
0.55000911138585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39950b1 |
Quadratic twists by: 5 |