Atkin-Lehner |
2- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25792w |
Isogeny class |
Conductor |
25792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-2993160804368384 = -1 · 223 · 135 · 312 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 2 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-902721,-329834783] |
[a1,a2,a3,a4,a6] |
j |
-310345110881179921/11418002336 |
j-invariant |
L |
0.61954115468667 |
L(r)(E,1)/r! |
Ω |
0.077442644335865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25792h1 6448i1 |
Quadratic twists by: -4 8 |