Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22344t |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8392545127065528576 = 28 · 38 · 712 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1821052,-936151840] |
[a1,a2,a3,a4,a6] |
Generators |
[-5702:3795:8] |
Generators of the group modulo torsion |
j |
22174957026242512/278654127129 |
j-invariant |
L |
7.0063384519363 |
L(r)(E,1)/r! |
Ω |
0.13006158107189 |
Real period |
R |
6.7336741509238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44688m2 67032ch2 3192c2 |
Quadratic twists by: -4 -3 -7 |