Atkin-Lehner |
2- 3+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64728j |
Isogeny class |
Conductor |
64728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60288 |
Modular degree for the optimal curve |
Δ |
18119697408 = 210 · 39 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 -4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8019,276318] |
[a1,a2,a3,a4,a6] |
j |
2829391884/899 |
j-invariant |
L |
1.201384420444 |
L(r)(E,1)/r! |
Ω |
1.2013844216962 |
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 |
129456c1 64728b1 |
Quadratic twists by: -4 -3 |