Atkin-Lehner |
2- 3+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89352l |
Isogeny class |
Conductor |
89352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-8577792 = -1 · 28 · 33 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -2 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-420,3316] |
[a1,a2,a3,a4,a6] |
Generators |
[12:2:1] [17:33:1] |
Generators of the group modulo torsion |
j |
-1185408000/1241 |
j-invariant |
L |
11.262819452684 |
L(r)(E,1)/r! |
Ω |
2.3111519569471 |
Real period |
R |
1.2183123029686 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89352a1 |
Quadratic twists by: -3 |