Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424bi |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
23706377367552 = 212 · 33 · 118 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32307,2222770] |
[a1,a2,a3,a4,a6] |
Generators |
[143:726:1] |
Generators of the group modulo torsion |
j |
19034163/121 |
j-invariant |
L |
2.8800399644199 |
L(r)(E,1)/r! |
Ω |
0.67816728917748 |
Real period |
R |
1.0616996758694 |
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 |
1089c2 69696eu2 17424bh2 1584k2 |
Quadratic twists by: -4 8 -3 -11 |