Atkin-Lehner |
3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110925bc |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
190841912841796875 = 37 · 514 · 17 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51472130,142149596622] |
[a1,a2,a3,a4,a6] |
Generators |
[33022:-3465:8] |
Generators of the group modulo torsion |
j |
1324013981269137345361/16754296875 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
36975g6 22185i6 |
Quadratic twists by: -3 5 |