Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15792r |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-4226817916403712 = -1 · 220 · 36 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17848,-3253904] |
[a1,a2,a3,a4,a6] |
Generators |
[172900:3687552:343] |
Generators of the group modulo torsion |
j |
-153517103853625/1031937967872 |
j-invariant |
L |
4.3214107812182 |
L(r)(E,1)/r! |
Ω |
0.18365905056625 |
Real period |
R |
5.8823820115243 |
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 |
1974c1 63168dd1 47376be1 110544dk1 |
Quadratic twists by: -4 8 -3 -7 |