Atkin-Lehner |
2+ 3+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17082a |
Isogeny class |
Conductor |
17082 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-4781866752 = -1 · 28 · 39 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,390,-1612] |
[a1,a2,a3,a4,a6] |
j |
332812557/242944 |
j-invariant |
L |
3.0774914717308 |
L(r)(E,1)/r! |
Ω |
0.76937286793271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17082h1 |
Quadratic twists by: -3 |