Atkin-Lehner |
2- 3+ 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630bn |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1608127119360 = -1 · 215 · 33 · 5 · 193 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -6 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2332,-43513] |
[a1,a2,a3,a4,a6] |
Generators |
[21:109:1] |
Generators of the group modulo torsion |
j |
51966105134013/59560263680 |
j-invariant |
L |
6.8095939823382 |
L(r)(E,1)/r! |
Ω |
0.45450031044329 |
Real period |
R |
1.498259477669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000747 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90630h2 |
Quadratic twists by: -3 |