Atkin-Lehner |
2- 3+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15996b |
Isogeny class |
Conductor |
15996 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-63984 = -1 · 24 · 3 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 5 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[165:125:27] |
Generators of the group modulo torsion |
j |
-76995328/3999 |
j-invariant |
L |
4.7524729173854 |
L(r)(E,1)/r! |
Ω |
1.0947632256645 |
Real period |
R |
4.3410966005923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63984z1 47988g1 |
Quadratic twists by: -4 -3 |