Atkin-Lehner |
2+ 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
47526f |
Isogeny class |
Conductor |
47526 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
768960 |
Modular degree for the optimal curve |
Δ |
850303182031649496 = 23 · 33 · 898 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-249677,18351632] |
[a1,a2,a3,a4,a6] |
Generators |
[-1299323531008673746210:-8079072689089965529881:2535986675931409000] |
Generators of the group modulo torsion |
j |
437257/216 |
j-invariant |
L |
7.2187429450853 |
L(r)(E,1)/r! |
Ω |
0.24970248547158 |
Real period |
R |
28.909375617356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
47526a1 |
Quadratic twists by: 89 |