Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64400q |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3220000000000 = -1 · 211 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -2 -5 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-86412] |
[a1,a2,a3,a4,a6] |
j |
-50/161 |
j-invariant |
L |
1.4452824608753 |
L(r)(E,1)/r! |
Ω |
0.3613206161096 |
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 |
32200q1 64400x1 |
Quadratic twists by: -4 5 |