Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17248bd |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-186339005754159104 = -1 · 212 · 710 · 115 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11- 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1581981,-765615563] |
[a1,a2,a3,a4,a6] |
j |
-908614343190016/386683451 |
j-invariant |
L |
1.3461334913757 |
L(r)(E,1)/r! |
Ω |
0.067306674568783 |
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 |
17248g1 34496m1 2464j1 |
Quadratic twists by: -4 8 -7 |