Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640b |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
42257600 = 26 · 52 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-383,-2868] |
[a1,a2,a3,a4,a6] |
Generators |
[24:42:1] |
Generators of the group modulo torsion |
j |
97082300736/660275 |
j-invariant |
L |
3.8472205055762 |
L(r)(E,1)/r! |
Ω |
1.0796372299406 |
Real period |
R |
3.5634381613421 |
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 |
24640n1 12320c2 123200bk1 |
Quadratic twists by: -4 8 5 |