Atkin-Lehner |
2- 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560cm |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
1409705285831884800 = 228 · 33 · 52 · 11 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1150720,471289268] |
[a1,a2,a3,a4,a6] |
j |
41140837251274049281/344166329548800 |
j-invariant |
L |
6.5094029820244 |
L(r)(E,1)/r! |
Ω |
0.27122512259967 |
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 |
9570u1 |
Quadratic twists by: -4 |