Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520cy |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
3445597297893703680 = 226 · 311 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1170363,479083498] |
[a1,a2,a3,a4,a6] |
j |
59374229431741561/1153923563520 |
j-invariant |
L |
3.0068696878632 |
L(r)(E,1)/r! |
Ω |
0.25057247489679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190bg1 21840ci1 |
Quadratic twists by: -4 -3 |