Atkin-Lehner |
5- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
5555b |
Isogeny class |
Conductor |
5555 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-138875 = -1 · 53 · 11 · 101 |
Discriminant |
Eigenvalues |
1 1 5- 2 11- 1 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23,-47] |
[a1,a2,a3,a4,a6] |
j |
-1263214441/138875 |
j-invariant |
L |
3.2670874521069 |
L(r)(E,1)/r! |
Ω |
1.0890291507023 |
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 |
88880r1 49995c1 27775c1 61105c1 |
Quadratic twists by: -4 -3 5 -11 |