Atkin-Lehner |
5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
5555a |
Isogeny class |
Conductor |
5555 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
154290125 = 53 · 112 · 1012 |
Discriminant |
Eigenvalues |
1 -2 5+ -4 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-644,6201] |
[a1,a2,a3,a4,a6] |
Generators |
[11:16:1] |
Generators of the group modulo torsion |
j |
29472131485369/154290125 |
j-invariant |
L |
2.3645486951623 |
L(r)(E,1)/r! |
Ω |
1.8344851562946 |
Real period |
R |
1.2889440326344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88880h2 49995g2 27775d2 61105a2 |
Quadratic twists by: -4 -3 5 -11 |