Atkin-Lehner |
3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
24225k |
Isogeny class |
Conductor |
24225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
105999894140625 = 32 · 58 · 174 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45876,-3753227] |
[a1,a2,a3,a4,a6] |
Generators |
[27687587:436441546:68921] |
Generators of the group modulo torsion |
j |
683355524635441/6783993225 |
j-invariant |
L |
6.0375394065305 |
L(r)(E,1)/r! |
Ω |
0.32641088324014 |
Real period |
R |
9.2483733180072 |
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 |
72675bh2 4845d2 |
Quadratic twists by: -3 5 |