Atkin-Lehner |
2+ 3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650u |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-28492800 = -1 · 210 · 3 · 52 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 5 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,69,-122] |
[a1,a2,a3,a4,a6] |
j |
1483704815/1139712 |
j-invariant |
L |
2.343513402131 |
L(r)(E,1)/r! |
Ω |
1.1717567007027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650cq1 |
Quadratic twists by: 5 |