Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822p |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
545319215478079488 = 218 · 32 · 173 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-270938,40925927] |
[a1,a2,a3,a4,a6] |
Generators |
[777:-17717:1] |
Generators of the group modulo torsion |
j |
46753267515625/11591221248 |
j-invariant |
L |
7.7613472064784 |
L(r)(E,1)/r! |
Ω |
0.27395383242838 |
Real period |
R |
0.78696828603069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110466q3 102c3 |
Quadratic twists by: -3 -19 |