Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805j |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16848 |
Modular degree for the optimal curve |
Δ |
-170002805 = -1 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- -2 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,122,-307] |
[a1,a2,a3,a4,a6] |
j |
5831/5 |
j-invariant |
L |
0.99805193895467 |
L(r)(E,1)/r! |
Ω |
0.99805195918252 |
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 |
1445c1 70805bn1 |
Quadratic twists by: -7 17 |