Atkin-Lehner |
2- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21472d |
Isogeny class |
Conductor |
21472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6694856571392 = 29 · 118 · 61 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11+ -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5531,97826] |
[a1,a2,a3,a4,a6] |
Generators |
[-1430:49938:125] |
Generators of the group modulo torsion |
j |
36548093438856/13075891741 |
j-invariant |
L |
2.6312303897085 |
L(r)(E,1)/r! |
Ω |
0.68699312313444 |
Real period |
R |
7.660136036598 |
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 |
21472g3 42944u3 |
Quadratic twists by: -4 8 |