Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024r |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-7908248304 = -1 · 24 · 32 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 11- 6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,444,2169] |
[a1,a2,a3,a4,a6] |
Generators |
[48:363:1] |
Generators of the group modulo torsion |
j |
340736/279 |
j-invariant |
L |
5.5492463430713 |
L(r)(E,1)/r! |
Ω |
0.8490509035406 |
Real period |
R |
0.81697786207888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
744a1 |
Quadratic twists by: -11 |