Atkin-Lehner |
2- 3+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21576i |
Isogeny class |
Conductor |
21576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-8434436023152 = -1 · 24 · 39 · 29 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 3 5 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5088,2097] |
[a1,a2,a3,a4,a6] |
j |
910247883890432/527152251447 |
j-invariant |
L |
3.5249084171036 |
L(r)(E,1)/r! |
Ω |
0.44061355213795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43152g1 64728e1 |
Quadratic twists by: -4 -3 |