Atkin-Lehner |
2+ 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24288a |
Isogeny class |
Conductor |
24288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
145728 = 26 · 32 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-338,2508] |
[a1,a2,a3,a4,a6] |
Generators |
[12:6:1] |
Generators of the group modulo torsion |
j |
66923416000/2277 |
j-invariant |
L |
3.1958897262093 |
L(r)(E,1)/r! |
Ω |
3.046605639882 |
Real period |
R |
1.0490001345672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24288k1 48576dj2 72864bg1 |
Quadratic twists by: -4 8 -3 |