Atkin-Lehner |
3- 11+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23199c |
Isogeny class |
Conductor |
23199 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4.7980622482512E+22 |
Discriminant |
Eigenvalues |
1 3- -2 0 11+ -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54894107,-156193523935] |
[a1,a2,a3,a4,a6] |
Generators |
[-1092535293943105425:-2136598043058282611:247566683579671] |
Generators of the group modulo torsion |
j |
18293671420037069494137961897/47980622482512406498449 |
j-invariant |
L |
5.8427294060149 |
L(r)(E,1)/r! |
Ω |
0.055473629585962 |
Real period |
R |
17.554074640579 |
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 |
69597f2 |
Quadratic twists by: -3 |