Atkin-Lehner |
2+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17696c |
Isogeny class |
Conductor |
17696 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-137002432 = -1 · 26 · 73 · 792 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -4 0 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,62,-552] |
[a1,a2,a3,a4,a6] |
j |
405224000/2140663 |
j-invariant |
L |
2.7769608741909 |
L(r)(E,1)/r! |
Ω |
0.92565362473029 |
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 |
17696e1 35392j1 123872d1 |
Quadratic twists by: -4 8 -7 |