Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5445h |
Isogeny class |
Conductor |
5445 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18480 |
Modular degree for the optimal curve |
Δ |
-488336325778125 = -1 · 36 · 55 · 118 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12728,1201456] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:1340:1] |
Generators of the group modulo torsion |
j |
-1459161/3125 |
j-invariant |
L |
2.4635309353201 |
L(r)(E,1)/r! |
Ω |
0.46580232923147 |
Real period |
R |
5.2887905034411 |
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 |
87120es1 605a1 27225bk1 5445f1 |
Quadratic twists by: -4 -3 5 -11 |