Atkin-Lehner |
2+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24592b |
Isogeny class |
Conductor |
24592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
713168 = 24 · 292 · 53 |
Discriminant |
Eigenvalues |
2+ -2 2 0 0 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27,28] |
[a1,a2,a3,a4,a6] |
j |
141150208/44573 |
j-invariant |
L |
1.320658380001 |
L(r)(E,1)/r! |
Ω |
2.6413167600017 |
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 |
12296b1 98368h1 |
Quadratic twists by: -4 8 |