Atkin-Lehner |
5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50225i |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6386688 |
Modular degree for the optimal curve |
Δ |
-6.2348835142298E+20 |
Discriminant |
Eigenvalues |
-2 3 5+ 7- 3 -5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2176825,1723778656] |
[a1,a2,a3,a4,a6] |
j |
-620563168014336/339172066835 |
j-invariant |
L |
2.4146326138694 |
L(r)(E,1)/r! |
Ω |
0.15091453841065 |
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 |
10045e1 7175c1 |
Quadratic twists by: 5 -7 |