Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
1752i |
Isogeny class |
Conductor |
1752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
168192 = 28 · 32 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 2 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-388,2816] |
[a1,a2,a3,a4,a6] |
Generators |
[10:6:1] |
Generators of the group modulo torsion |
j |
25298674000/657 |
j-invariant |
L |
3.1547064950979 |
L(r)(E,1)/r! |
Ω |
2.989650843408 |
Real period |
R |
0.52760450305658 |
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 |
3504c2 14016c2 5256b2 43800i2 |
Quadratic twists by: -4 8 -3 5 |