Atkin-Lehner |
2- 3- 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64170bf |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34048 |
Modular degree for the optimal curve |
Δ |
-207910800 = -1 · 24 · 36 · 52 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-767,-8009] |
[a1,a2,a3,a4,a6] |
j |
-68367756969/285200 |
j-invariant |
L |
3.6282444121051 |
L(r)(E,1)/r! |
Ω |
0.45353055164584 |
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 |
7130b1 |
Quadratic twists by: -3 |