Atkin-Lehner |
3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5475b |
Isogeny class |
Conductor |
5475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
468369140625 = 32 · 510 · 732 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2150,-20625] |
[a1,a2,a3,a4,a6] |
Generators |
[-322:579:8] |
Generators of the group modulo torsion |
j |
70393838689/29975625 |
j-invariant |
L |
3.9031987396331 |
L(r)(E,1)/r! |
Ω |
0.72843767284523 |
Real period |
R |
5.3583153166523 |
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 |
87600by2 16425g2 1095a2 |
Quadratic twists by: -4 -3 5 |