Atkin-Lehner |
2- 3- 5- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39990bb |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
724992 |
Modular degree for the optimal curve |
Δ |
-164266395352104960 = -1 · 216 · 38 · 5 · 312 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-205990,40911332] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:8330:1] |
Generators of the group modulo torsion |
j |
-966634422732299921761/164266395352104960 |
j-invariant |
L |
10.11124059419 |
L(r)(E,1)/r! |
Ω |
0.31078698025651 |
Real period |
R |
0.1694495418843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970p1 |
Quadratic twists by: -3 |