Atkin-Lehner |
2- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39950v |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
1738624000 = 210 · 53 · 172 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -1 1 -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-323,-1119] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:32:1] [-9:38:1] |
Generators of the group modulo torsion |
j |
29819839301/13908992 |
j-invariant |
L |
10.738905950397 |
L(r)(E,1)/r! |
Ω |
1.1780363282309 |
Real period |
R |
0.22789844619062 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39950j1 |
Quadratic twists by: 5 |