Atkin-Lehner |
2+ 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464f |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9.7599754430472E+18 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33986451,-76261614334] |
[a1,a2,a3,a4,a6] |
Generators |
[-500781577:-47882142:148877] |
Generators of the group modulo torsion |
j |
5815856413363502058052/13074384113307 |
j-invariant |
L |
4.9913872699279 |
L(r)(E,1)/r! |
Ω |
0.062527801530082 |
Real period |
R |
9.9783359358923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56232c2 37488d2 |
Quadratic twists by: -4 -3 |