Atkin-Lehner |
2- 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650dk |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
594 |
Product of Tamagawa factors cp |
deg |
1026432 |
Modular degree for the optimal curve |
Δ |
-119878595857612800 = -1 · 218 · 311 · 52 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,21242,-16613788] |
[a1,a2,a3,a4,a6] |
Generators |
[548:-12910:1] |
Generators of the group modulo torsion |
j |
42400271660457335/4795143834304512 |
j-invariant |
L |
13.473772710036 |
L(r)(E,1)/r! |
Ω |
0.15705543264641 |
Real period |
R |
0.1444274715652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91650t1 |
Quadratic twists by: 5 |