Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89056f |
Isogeny class |
Conductor |
89056 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
14688844572875264 = 29 · 119 · 233 |
Discriminant |
Eigenvalues |
2+ 0 1 3 11- -3 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71027,-4368342] |
[a1,a2,a3,a4,a6] |
Generators |
[-4444:30613:64] |
Generators of the group modulo torsion |
j |
43688592648/16194277 |
j-invariant |
L |
7.1542831833991 |
L(r)(E,1)/r! |
Ω |
0.30158817399385 |
Real period |
R |
1.9768356853683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89056c1 8096c1 |
Quadratic twists by: -4 -11 |