Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1710c |
Isogeny class |
Conductor |
1710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8178876990000000000 = 210 · 316 · 510 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-791505,233711325] |
[a1,a2,a3,a4,a6] |
j |
75224183150104868881/11219310000000000 |
j-invariant |
L |
0.89405924430326 |
L(r)(E,1)/r! |
Ω |
0.22351481107581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13680be2 54720ch2 570l2 8550y2 |
Quadratic twists by: -4 8 -3 5 |