Atkin-Lehner |
3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110925bc |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1620183717144140625 = 310 · 58 · 174 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-293630,-293628] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:4860:1] |
Generators of the group modulo torsion |
j |
245796699240721/142238351025 |
j-invariant |
L |
3.6692940057311 |
L(r)(E,1)/r! |
Ω |
0.22510224877884 |
Real period |
R |
2.0375707544884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998219834 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36975g2 22185i2 |
Quadratic twists by: -3 5 |