Atkin-Lehner |
2- 13- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102544m |
Isogeny class |
Conductor |
102544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2174976 |
Modular degree for the optimal curve |
Δ |
528271196291072 = 224 · 13 · 174 · 29 |
Discriminant |
Eigenvalues |
2- -2 -2 2 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10495464,13083817780] |
[a1,a2,a3,a4,a6] |
Generators |
[1895:1870:1] |
Generators of the group modulo torsion |
j |
31215387856948088340457/128972460032 |
j-invariant |
L |
3.9994826756711 |
L(r)(E,1)/r! |
Ω |
0.3499249870775 |
Real period |
R |
2.8573857447276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12818b1 |
Quadratic twists by: -4 |