Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5520j |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-429235200 = -1 · 210 · 36 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,120,900] |
[a1,a2,a3,a4,a6] |
Generators |
[0:30:1] |
Generators of the group modulo torsion |
j |
185073116/419175 |
j-invariant |
L |
4.7263697982477 |
L(r)(E,1)/r! |
Ω |
1.1650977368832 |
Real period |
R |
0.33805245464439 |
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 |
2760g1 22080bu1 16560o1 27600h1 |
Quadratic twists by: -4 8 -3 5 |