Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650bo |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
123908750000 = 24 · 57 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74605,-7824603] |
[a1,a2,a3,a4,a6] |
Generators |
[349:2750:1] |
Generators of the group modulo torsion |
j |
8568561392847/23120 |
j-invariant |
L |
9.4707158719701 |
L(r)(E,1)/r! |
Ω |
0.28887376121703 |
Real period |
R |
4.0981205042929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8330m2 41650bz2 |
Quadratic twists by: 5 -7 |