Atkin-Lehner |
5+ 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
104975a |
Isogeny class |
Conductor |
104975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
172183603515625 = 510 · 132 · 172 · 192 |
Discriminant |
Eigenvalues |
1 0 5+ -4 0 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35317,2484216] |
[a1,a2,a3,a4,a6] |
Generators |
[88:184:1] |
Generators of the group modulo torsion |
j |
311789883156129/11019750625 |
j-invariant |
L |
3.597257797776 |
L(r)(E,1)/r! |
Ω |
0.56789040194118 |
Real period |
R |
3.1672112978997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010514 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20995b2 |
Quadratic twists by: 5 |