Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154c |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
235872 |
Modular degree for the optimal curve |
Δ |
3433597354817342856 = 23 · 33 · 117 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 11+ 13+ 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-737688,226682136] |
[a1,a2,a3,a4,a6] |
Generators |
[-14559:591403:27] |
Generators of the group modulo torsion |
j |
54424690756969/4209228936 |
j-invariant |
L |
2.277682277153 |
L(r)(E,1)/r! |
Ω |
0.24508131487092 |
Real period |
R |
9.2935778411037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89232cl1 33462cs1 122694ck1 11154z1 |
Quadratic twists by: -4 -3 -11 13 |