Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400bp |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5068800 |
Modular degree for the optimal curve |
Δ |
-2.1992892609307E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5482500,-5147412500] |
[a1,a2,a3,a4,a6] |
Generators |
[544537246980202622915:34682969475681787614573:198599173181837875] |
Generators of the group modulo torsion |
j |
9999818009600/12067430787 |
j-invariant |
L |
8.3262759007392 |
L(r)(E,1)/r! |
Ω |
0.064763656330637 |
Real period |
R |
32.141004586859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52200x1 34800bb1 104400cj1 |
Quadratic twists by: -4 -3 5 |