Atkin-Lehner |
2+ 3+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15678a |
Isogeny class |
Conductor |
15678 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-3565929744 = -1 · 24 · 39 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 4 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,147,-2827] |
[a1,a2,a3,a4,a6] |
Generators |
[31:160:1] |
Generators of the group modulo torsion |
j |
17779581/181168 |
j-invariant |
L |
4.2944404611725 |
L(r)(E,1)/r! |
Ω |
0.69284736708657 |
Real period |
R |
0.7747811179594 |
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 |
125424l1 15678g1 |
Quadratic twists by: -4 -3 |