Atkin-Lehner |
11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18491a |
Isogeny class |
Conductor |
18491 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13600 |
Modular degree for the optimal curve |
Δ |
-52251146651 = -1 · 11 · 416 |
Discriminant |
Eigenvalues |
-2 1 1 2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-560,11938] |
[a1,a2,a3,a4,a6] |
Generators |
[298:1677:8] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
3.1416686653769 |
L(r)(E,1)/r! |
Ω |
0.99108595836679 |
Real period |
R |
1.5849627566887 |
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 |
11a3 |
Quadratic twists by: 41 |