Atkin-Lehner |
2- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89488g |
Isogeny class |
Conductor |
89488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10616832 |
Modular degree for the optimal curve |
Δ |
6.1805941409418E+22 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9964080,1864334164] |
[a1,a2,a3,a4,a6] |
Generators |
[7154:544768:1] |
Generators of the group modulo torsion |
j |
26710094528889557753521/15089341164408799232 |
j-invariant |
L |
2.3469050487468 |
L(r)(E,1)/r! |
Ω |
0.09541094496725 |
Real period |
R |
3.0747324822561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999809041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11186d1 |
Quadratic twists by: -4 |