Atkin-Lehner |
3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5565b |
Isogeny class |
Conductor |
5565 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2256 |
Modular degree for the optimal curve |
Δ |
-93530955 = -1 · 3 · 5 · 76 · 53 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 2 4 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,104,192] |
[a1,a2,a3,a4,a6] |
Generators |
[30:171:1] |
Generators of the group modulo torsion |
j |
123208626176/93530955 |
j-invariant |
L |
1.5999908467418 |
L(r)(E,1)/r! |
Ω |
1.2178368737656 |
Real period |
R |
0.65689867058899 |
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 |
89040cf1 16695p1 27825r1 38955r1 |
Quadratic twists by: -4 -3 5 -7 |