Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
550h |
Isogeny class |
Conductor |
550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36 |
Modular degree for the optimal curve |
Δ |
-550 = -1 · 2 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11+ -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2,1] |
[a1,a2,a3,a4,a6] |
j |
34295/22 |
j-invariant |
L |
3.2349129200895 |
L(r)(E,1)/r! |
Ω |
3.2349129200895 |
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 |
4400u1 17600s1 4950p1 550d1 |
Quadratic twists by: -4 8 -3 5 |