Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424bi |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
2155125215232 = 212 · 33 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3267,-13310] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:242:1] |
Generators of the group modulo torsion |
j |
19683/11 |
j-invariant |
L |
2.8800399644199 |
L(r)(E,1)/r! |
Ω |
0.67816728917748 |
Real period |
R |
0.53084983793472 |
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 |
1089c1 69696eu1 17424bh1 1584k1 |
Quadratic twists by: -4 8 -3 -11 |