Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
72828w |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
83724826600786896 = 24 · 37 · 73 · 178 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-877404,316028725] |
[a1,a2,a3,a4,a6] |
j |
265327034368/297381 |
j-invariant |
L |
4.0819778043529 |
L(r)(E,1)/r! |
Ω |
0.34016481679954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24276k1 4284e1 |
Quadratic twists by: -3 17 |