Atkin-Lehner |
2- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111476d |
Isogeny class |
Conductor |
111476 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
239760 |
Modular degree for the optimal curve |
Δ |
-6588827327744 = -1 · 28 · 29 · 316 |
Discriminant |
Eigenvalues |
2- -1 3 -4 -3 -5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4164,-159704] |
[a1,a2,a3,a4,a6] |
j |
-35152/29 |
j-invariant |
L |
0.86129079126249 |
L(r)(E,1)/r! |
Ω |
0.28709693362684 |
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 |
116b1 |
Quadratic twists by: -31 |