Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38220v |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1169101642800 = -1 · 24 · 3 · 52 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,51960] |
[a1,a2,a3,a4,a6] |
j |
-1048576/621075 |
j-invariant |
L |
2.8068459754173 |
L(r)(E,1)/r! |
Ω |
0.70171149385297 |
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 |
114660bt1 5460b1 |
Quadratic twists by: -3 -7 |