Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386bw |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-92513603574 = -1 · 2 · 311 · 72 · 732 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1616,29369] |
[a1,a2,a3,a4,a6] |
j |
-13057865737/2589894 |
j-invariant |
L |
8.2126914793799 |
L(r)(E,1)/r! |
Ω |
1.0265864342302 |
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 |
21462p1 64386bl1 |
Quadratic twists by: -3 -7 |