Atkin-Lehner |
2- 3+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450cd |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-1.0174442401013E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-632838,-247445469] |
[a1,a2,a3,a4,a6] |
j |
-1793830388826762649/651164313664800 |
j-invariant |
L |
4.1561731365229 |
L(r)(E,1)/r! |
Ω |
0.08312346281331 |
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 |
12090k1 |
Quadratic twists by: 5 |