Atkin-Lehner |
5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11275a |
Isogeny class |
Conductor |
11275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3888 |
Modular degree for the optimal curve |
Δ |
-288921875 = -1 · 56 · 11 · 412 |
Discriminant |
Eigenvalues |
0 -1 5+ -4 11+ 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,67,768] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:20:1] |
Generators of the group modulo torsion |
j |
2097152/18491 |
j-invariant |
L |
2.0580698011461 |
L(r)(E,1)/r! |
Ω |
1.2681031245842 |
Real period |
R |
0.81147572356186 |
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 |
101475bt1 451a1 124025i1 |
Quadratic twists by: -3 5 -11 |