Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598s |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
45722880 |
Modular degree for the optimal curve |
Δ |
-3.943154794433E+27 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-945339103,-11588569391611] |
[a1,a2,a3,a4,a6] |
j |
-157071934309059089673625/6629119362374565888 |
j-invariant |
L |
4.3999340846605 |
L(r)(E,1)/r! |
Ω |
0.013580043466841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2262e1 |
Quadratic twists by: 29 |