Atkin-Lehner |
3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
5475h |
Isogeny class |
Conductor |
5475 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
67352765625 = 310 · 56 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2063,-34008] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:55:1] |
Generators of the group modulo torsion |
j |
62146192681/4310577 |
j-invariant |
L |
2.6486523405532 |
L(r)(E,1)/r! |
Ω |
0.71148558074209 |
Real period |
R |
0.74454139683073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600bm1 16425k1 219c1 |
Quadratic twists by: -4 -3 5 |