Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81356g |
Isogeny class |
Conductor |
81356 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1135200 |
Modular degree for the optimal curve |
Δ |
88456299700884368 = 24 · 11 · 439 |
Discriminant |
Eigenvalues |
2- 2 0 3 11- 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2252698,-1300546059] |
[a1,a2,a3,a4,a6] |
Generators |
[-3792922051406555583406447032672552:596775732747769435732508496308237:4403255632220702751775295952384] |
Generators of the group modulo torsion |
j |
157216000/11 |
j-invariant |
L |
11.467488868002 |
L(r)(E,1)/r! |
Ω |
0.12323260200189 |
Real period |
R |
46.527820892017 |
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 |
81356h1 |
Quadratic twists by: -43 |