Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20240h |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
82903040 = 216 · 5 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-443,3562] |
[a1,a2,a3,a4,a6] |
j |
2347334289/20240 |
j-invariant |
L |
1.9312789412706 |
L(r)(E,1)/r! |
Ω |
1.9312789412706 |
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 |
2530j1 80960cb1 101200be1 |
Quadratic twists by: -4 8 5 |