Atkin-Lehner |
2- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56144q |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-215483496267776 = -1 · 222 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 1 1 -2 11- 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9640,608276] |
[a1,a2,a3,a4,a6] |
j |
13651919/29696 |
j-invariant |
L |
0.77880946353419 |
L(r)(E,1)/r! |
Ω |
0.38940473172064 |
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 |
7018b1 464c1 |
Quadratic twists by: -4 -11 |