Atkin-Lehner |
2- 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040cg |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-1.2769133621517E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25190704,-24232576620] |
[a1,a2,a3,a4,a6] |
j |
431603205357393641203631/311746426306560000000 |
j-invariant |
L |
2.3214762316415 |
L(r)(E,1)/r! |
Ω |
0.048364088210897 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130v1 |
Quadratic twists by: -4 |