Atkin-Lehner |
5+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11165a |
Isogeny class |
Conductor |
11165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-12775745018575 = -1 · 52 · 73 · 116 · 292 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11+ -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12688,-573158] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3240:1] |
Generators of the group modulo torsion |
j |
-225876542934987729/12775745018575 |
j-invariant |
L |
1.8206451329384 |
L(r)(E,1)/r! |
Ω |
0.22418172003352 |
Real period |
R |
4.0606458293437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485y1 55825j1 78155i1 122815h1 |
Quadratic twists by: -3 5 -7 -11 |