Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822p |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
37314534606912 = 26 · 36 · 17 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-92243,-10817647] |
[a1,a2,a3,a4,a6] |
Generators |
[1689:67384:1] |
Generators of the group modulo torsion |
j |
1845026709625/793152 |
j-invariant |
L |
7.7613472064784 |
L(r)(E,1)/r! |
Ω |
0.27395383242838 |
Real period |
R |
2.3609048580921 |
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 |
110466q1 102c1 |
Quadratic twists by: -3 -19 |