Atkin-Lehner |
2+ 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54520a |
Isogeny class |
Conductor |
54520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
24688531313536000 = 210 · 53 · 292 · 475 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 -3 3 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73096,-818980] |
[a1,a2,a3,a4,a6] |
j |
42180384337738276/24109893860875 |
j-invariant |
L |
1.2580849474877 |
L(r)(E,1)/r! |
Ω |
0.31452123705422 |
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 |
109040b1 |
Quadratic twists by: -4 |