Atkin-Lehner |
2- 5+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
24380b |
Isogeny class |
Conductor |
24380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27264 |
Modular degree for the optimal curve |
Δ |
-646070000 = -1 · 24 · 54 · 23 · 532 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 0 -5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16426,815801] |
[a1,a2,a3,a4,a6] |
Generators |
[76:25:1] [98:371:1] |
Generators of the group modulo torsion |
j |
-30635545944227584/40379375 |
j-invariant |
L |
6.5432507969837 |
L(r)(E,1)/r! |
Ω |
1.372354778295 |
Real period |
R |
0.39732502729801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97520c1 121900c1 |
Quadratic twists by: -4 5 |