Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
89012z |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
220320 |
Modular degree for the optimal curve |
Δ |
-94535464840432 = -1 · 24 · 7 · 112 · 178 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1638,466553] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:309:1] |
Generators of the group modulo torsion |
j |
4352/847 |
j-invariant |
L |
12.219868754402 |
L(r)(E,1)/r! |
Ω |
0.46414730358414 |
Real period |
R |
4.3879276583026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89012e1 |
Quadratic twists by: 17 |