Atkin-Lehner |
2+ 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
17688d |
Isogeny class |
Conductor |
17688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
341307648 = 28 · 33 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-188,384] |
[a1,a2,a3,a4,a6] |
j |
2885794000/1333233 |
j-invariant |
L |
4.5856367712776 |
L(r)(E,1)/r! |
Ω |
1.5285455904259 |
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 |
35376a1 53064o1 |
Quadratic twists by: -4 -3 |