Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17952o |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
610368 = 26 · 3 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22,-8] |
[a1,a2,a3,a4,a6] |
j |
19248832/9537 |
j-invariant |
L |
2.3108983735832 |
L(r)(E,1)/r! |
Ω |
2.3108983735832 |
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 |
17952r1 35904co1 53856g1 |
Quadratic twists by: -4 8 -3 |