Atkin-Lehner |
2- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
89540c |
Isogeny class |
Conductor |
89540 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-111672402645760 = -1 · 28 · 5 · 119 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11+ 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7099,-455695] |
[a1,a2,a3,a4,a6] |
Generators |
[1629140417072:250811722029:33604458083] |
Generators of the group modulo torsion |
j |
65536/185 |
j-invariant |
L |
10.556185351091 |
L(r)(E,1)/r! |
Ω |
0.30444001675611 |
Real period |
R |
17.337052900551 |
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 |
89540d1 |
Quadratic twists by: -11 |