Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1722q |
Isogeny class |
Conductor |
1722 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-141839418 = -1 · 2 · 3 · 73 · 413 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,122,254] |
[a1,a2,a3,a4,a6] |
j |
200715401375/141839418 |
j-invariant |
L |
3.4942339405355 |
L(r)(E,1)/r! |
Ω |
1.1647446468452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13776d2 55104k2 5166q2 43050a2 |
Quadratic twists by: -4 8 -3 5 |