Atkin-Lehner |
5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9425d |
Isogeny class |
Conductor |
9425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
29453125 = 57 · 13 · 29 |
Discriminant |
Eigenvalues |
0 1 5+ -1 0 13- -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-55283,-5021531] |
[a1,a2,a3,a4,a6] |
j |
1195876549033984/1885 |
j-invariant |
L |
1.2454061063031 |
L(r)(E,1)/r! |
Ω |
0.31135152657577 |
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 |
84825s1 1885a1 122525a1 |
Quadratic twists by: -3 5 13 |