Atkin-Lehner |
2+ 3- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010p |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
129776580 = 22 · 38 · 5 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-945,-10935] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:9:1] |
Generators of the group modulo torsion |
j |
128100283921/178020 |
j-invariant |
L |
3.4187625528908 |
L(r)(E,1)/r! |
Ω |
0.86110538739312 |
Real period |
R |
1.9851011345493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999705439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29670y1 |
Quadratic twists by: -3 |