Atkin-Lehner |
2+ 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822i |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
16584237603072 = 28 · 34 · 17 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12281,-490971] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:210:1] |
Generators of the group modulo torsion |
j |
4354703137/352512 |
j-invariant |
L |
2.4382519680321 |
L(r)(E,1)/r! |
Ω |
0.45584073931249 |
Real period |
R |
1.3372279821411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110466bj1 102b1 |
Quadratic twists by: -3 -19 |