Atkin-Lehner |
7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17689d |
Isogeny class |
Conductor |
17689 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6600 |
Modular degree for the optimal curve |
Δ |
-806954491 = -1 · 76 · 193 |
Discriminant |
Eigenvalues |
0 0 1 7- -5 0 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1862,-30956] |
[a1,a2,a3,a4,a6] |
j |
-884736 |
j-invariant |
L |
0.72673353999264 |
L(r)(E,1)/r! |
Ω |
0.36336676999632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
361a1 17689d2 |
Quadratic twists by: -7 -19 |