Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32490q |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4500189900 = 22 · 38 · 52 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32814,2296120] |
[a1,a2,a3,a4,a6] |
Generators |
[101:17:1] |
Generators of the group modulo torsion |
j |
781484460931/900 |
j-invariant |
L |
4.8083280836903 |
L(r)(E,1)/r! |
Ω |
1.1619655655963 |
Real period |
R |
0.51726232537091 |
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 |
10830q2 32490br2 |
Quadratic twists by: -3 -19 |