Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20475w |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
139246053359765625 = 316 · 58 · 72 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242667,-42303384] |
[a1,a2,a3,a4,a6] |
Generators |
[120420:3045438:125] |
Generators of the group modulo torsion |
j |
138742439989609/12224619225 |
j-invariant |
L |
6.0481057373055 |
L(r)(E,1)/r! |
Ω |
0.21631305220096 |
Real period |
R |
6.9899916761458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6825j2 4095l2 |
Quadratic twists by: -3 5 |