Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9150u |
Isogeny class |
Conductor |
9150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
2529792000 = 212 · 34 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-408,1881] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:77:1] |
Generators of the group modulo torsion |
j |
60098096213/20238336 |
j-invariant |
L |
5.6441420433293 |
L(r)(E,1)/r! |
Ω |
1.3307519713608 |
Real period |
R |
0.35344315124063 |
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 |
73200cw1 27450x1 9150n1 |
Quadratic twists by: -4 -3 5 |