Atkin-Lehner |
3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
4545a |
Isogeny class |
Conductor |
4545 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4704 |
Modular degree for the optimal curve |
Δ |
-155311171875 = -1 · 39 · 57 · 101 |
Discriminant |
Eigenvalues |
1 3+ 5+ 3 1 -4 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-960,22391] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:73:1] |
Generators of the group modulo torsion |
j |
-4973940243/7890625 |
j-invariant |
L |
4.495600317588 |
L(r)(E,1)/r! |
Ω |
0.91994253615538 |
Real period |
R |
2.4434136594966 |
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 |
72720x1 4545b1 22725a1 |
Quadratic twists by: -4 -3 5 |