Atkin-Lehner |
2- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10336j |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-234810271232 = -1 · 29 · 176 · 19 |
Discriminant |
Eigenvalues |
2- 0 0 -4 2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1435,31326] |
[a1,a2,a3,a4,a6] |
Generators |
[22:102:1] |
Generators of the group modulo torsion |
j |
-638277381000/458613811 |
j-invariant |
L |
3.7142461004652 |
L(r)(E,1)/r! |
Ω |
0.91229055571543 |
Real period |
R |
1.3571137240563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10336n2 20672be2 93024e2 |
Quadratic twists by: -4 8 -3 |