Atkin-Lehner |
2+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20240b |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-71254818800 = -1 · 24 · 52 · 114 · 233 |
Discriminant |
Eigenvalues |
2+ 3 5+ 2 11+ -7 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2743,-56767] |
[a1,a2,a3,a4,a6] |
Generators |
[3648:38555:27] |
Generators of the group modulo torsion |
j |
-142653079805184/4453426175 |
j-invariant |
L |
8.562293124352 |
L(r)(E,1)/r! |
Ω |
0.32924200515566 |
Real period |
R |
6.501519391719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10120g1 80960cd1 101200d1 |
Quadratic twists by: -4 8 5 |