Atkin-Lehner |
2- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89792n |
Isogeny class |
Conductor |
89792 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-1.3396457300018E+22 |
Discriminant |
Eigenvalues |
2- 0 -1 3 -6 -6 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,545812,-5566527504] |
[a1,a2,a3,a4,a6] |
Generators |
[4613:308407:1] |
Generators of the group modulo torsion |
j |
548785990562042232/408827432251533203 |
j-invariant |
L |
4.004498157219 |
L(r)(E,1)/r! |
Ω |
0.058714165764373 |
Real period |
R |
3.7890706105577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89792g1 44896e1 |
Quadratic twists by: -4 8 |