Atkin-Lehner |
3- 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
99975m |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
97607427978515625 = 32 · 514 · 312 · 432 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-170126,-22453477] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:2226:1] [294216:4124729:512] |
Generators of the group modulo torsion |
j |
34850746852992721/6246875390625 |
j-invariant |
L |
16.85727085815 |
L(r)(E,1)/r! |
Ω |
0.23796983723322 |
Real period |
R |
35.418923369318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998841 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19995e2 |
Quadratic twists by: 5 |