Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4422g |
Isogeny class |
Conductor |
4422 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
5831561142 = 2 · 310 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-457,734] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:41:1] |
Generators of the group modulo torsion |
j |
10522174895497/5831561142 |
j-invariant |
L |
2.9035079049946 |
L(r)(E,1)/r! |
Ω |
1.1691753535902 |
Real period |
R |
0.49667620790651 |
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 |
35376p2 13266n2 110550bm2 48642y2 |
Quadratic twists by: -4 -3 5 -11 |