Atkin-Lehner |
2- 7+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
89936m |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-1438976 = -1 · 28 · 7 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11+ -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12,56] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] |
Generators of the group modulo torsion |
j |
-810448/5621 |
j-invariant |
L |
4.7345355286029 |
L(r)(E,1)/r! |
Ω |
2.317253312301 |
Real period |
R |
2.0431670135912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22484h1 |
Quadratic twists by: -4 |