Atkin-Lehner |
3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
5475f |
Isogeny class |
Conductor |
5475 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
100320 |
Modular degree for the optimal curve |
Δ |
-6.0485267164482E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 0 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-760833,452802494] |
[a1,a2,a3,a4,a6] |
Generators |
[-486:26608:1] |
Generators of the group modulo torsion |
j |
-4987607429939200/6193691357643 |
j-invariant |
L |
3.9751288318978 |
L(r)(E,1)/r! |
Ω |
0.17837687923576 |
Real period |
R |
0.58644737994733 |
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 |
87600bl1 16425i1 5475d1 |
Quadratic twists by: -4 -3 5 |