Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16920m |
Isogeny class |
Conductor |
16920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-222616304640 = -1 · 210 · 39 · 5 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723,23902] |
[a1,a2,a3,a4,a6] |
Generators |
[59:432:1] |
Generators of the group modulo torsion |
j |
-55990084/298215 |
j-invariant |
L |
4.6973599406241 |
L(r)(E,1)/r! |
Ω |
0.86175688830821 |
Real period |
R |
1.3627277032406 |
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 |
33840j1 5640d1 84600q1 |
Quadratic twists by: -4 -3 5 |