Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520ep |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
1.1392793529976E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4881267,3820094514] |
[a1,a2,a3,a4,a6] |
j |
4307585705106105969/381542350192640 |
j-invariant |
L |
3.0113200005894 |
L(r)(E,1)/r! |
Ω |
0.15056600041735 |
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 |
8190t1 7280r1 |
Quadratic twists by: -4 -3 |