Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84216n |
Isogeny class |
Conductor |
84216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-22194116208 = -1 · 24 · 33 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10688,-421815] |
[a1,a2,a3,a4,a6] |
j |
-4764064000/783 |
j-invariant |
L |
0.46953475630206 |
L(r)(E,1)/r! |
Ω |
0.23476739410401 |
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 |
696a1 |
Quadratic twists by: -11 |