Atkin-Lehner |
5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50225d |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1931327822265625 = 510 · 76 · 412 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32692,-831909] |
[a1,a2,a3,a4,a6] |
j |
2102071041/1050625 |
j-invariant |
L |
0.74794014562238 |
L(r)(E,1)/r! |
Ω |
0.37397007292734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10045d2 1025b2 |
Quadratic twists by: 5 -7 |