Atkin-Lehner |
3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84825y |
Isogeny class |
Conductor |
84825 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
59609088 |
Modular degree for the optimal curve |
Δ |
-9.0777671843249E+24 |
Discriminant |
Eigenvalues |
2 3- 5+ 4 1 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1242173325,16851457942281] |
[a1,a2,a3,a4,a6] |
j |
-18608987926069910266802176/796950754179415875 |
j-invariant |
L |
7.6908497523136 |
L(r)(E,1)/r! |
Ω |
0.068668302265806 |
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 |
28275k1 16965f1 |
Quadratic twists by: -3 5 |