Atkin-Lehner |
2+ 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4422a |
Isogeny class |
Conductor |
4422 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
107547462 = 2 · 32 · 113 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14201,-657321] |
[a1,a2,a3,a4,a6] |
Generators |
[1187:40109:1] |
Generators of the group modulo torsion |
j |
316758500097768217/107547462 |
j-invariant |
L |
1.9611091371141 |
L(r)(E,1)/r! |
Ω |
0.43733662561804 |
Real period |
R |
4.4842096962328 |
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 |
35376bf2 13266p2 110550bw2 48642r2 |
Quadratic twists by: -4 -3 5 -11 |