Atkin-Lehner |
3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5475a |
Isogeny class |
Conductor |
5475 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-30796875 = -1 · 33 · 56 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 0 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,67,143] |
[a1,a2,a3,a4,a6] |
Generators |
[1:14:1] |
Generators of the group modulo torsion |
j |
2097152/1971 |
j-invariant |
L |
3.1446531345871 |
L(r)(E,1)/r! |
Ω |
1.3673627900433 |
Real period |
R |
2.2997942883084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87600cg1 16425e1 219b1 |
Quadratic twists by: -4 -3 5 |