Atkin-Lehner |
2- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012o |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3330598320896 = -1 · 28 · 72 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6165,203927] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:578:1] |
Generators of the group modulo torsion |
j |
-4194304/539 |
j-invariant |
L |
7.6073488276444 |
L(r)(E,1)/r! |
Ω |
0.77034437537085 |
Real period |
R |
0.82293809796528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
308a1 |
Quadratic twists by: 17 |