Atkin-Lehner |
2+ 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
1722c |
Isogeny class |
Conductor |
1722 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
840 |
Modular degree for the optimal curve |
Δ |
-984184992 = -1 · 25 · 37 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 5 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,165,1341] |
[a1,a2,a3,a4,a6] |
j |
492103442375/984184992 |
j-invariant |
L |
1.0801737685376 |
L(r)(E,1)/r! |
Ω |
1.0801737685376 |
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 |
13776x1 55104z1 5166ba1 43050cb1 |
Quadratic twists by: -4 8 -3 5 |