Atkin-Lehner |
2+ 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44720b |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-17888000 = -1 · 28 · 53 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 4 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60,-292] |
[a1,a2,a3,a4,a6] |
j |
-94875856/69875 |
j-invariant |
L |
4.9789116437884 |
L(r)(E,1)/r! |
Ω |
0.82981860723707 |
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 |
22360e1 |
Quadratic twists by: -4 |