Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136v |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
2098320336 = 24 · 33 · 75 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16824,-839925] |
[a1,a2,a3,a4,a6] |
j |
1219067475001344/4857223 |
j-invariant |
L |
2.0959810311499 |
L(r)(E,1)/r! |
Ω |
0.41919620622998 |
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 |
4284b1 68544dh1 17136t1 119952cq1 |
Quadratic twists by: -4 8 -3 -7 |